måndag 11 november 2019 kl. 13:13:04 UTC+1 skrev Eram semper recta:
> On Monday, November 11, 2019 at 1:47:12 AM UTC-5, Zelos Malum wrote:
> > Den söndag 10 november 2019 kl. 16:32:33 UTC+1 skrev Eram semper recta:
> > > Rudin's Bullshit book is referenced:
> > >
> > > https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
> > >
> > >
> > > On Page 59 (Page 68 of PDF) we have:
> > >
> > > ---------
> > > s = \sum_{n=1}^{\infty} a_n
> > >
> > > The number s is called the sum of the series; but it should be clearly understood that s is the limit of a sequence of sums, and is not obtained simply by addition.
> > >
> > > ---------
> > >
> > > Notice that is states clearly:
> > >
> > > BUT it should be clearly understood that s is the LIMIT of a SEQUENCE of SUMS, and is NOT obtained simply by ADDITION.
> > >
> > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > >
> > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > >
> > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > >
> > > {S(1); S(2); S(3); ...}
> > >
> > > where
> > >
> > > S(n) = (1/3)*[1-10^(-n)]
> > >
> > > Okay so far you incorrigibly stupid cunts?
> > >
> > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > >
> > > S(n) = 1/3 - 1/(3*(10^n))
> > >
> > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely.. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > >
> > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > >
> > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > >
> > > YOU HAVE BEEN WARNED.
> >
> > You are aware it never has to "reach" it, right?
> I am. But YOU are not!
>
> 0.333... = 1/3 means the limit is reached, you utter moron.
No, it does not mean that the partial sums have to reach the limit. That's what a limit means. It it the limiting value.

On Wednesday, 30 August 2023 at 11:40:44 UTC-4, markus...@gmail.com wrote:
> måndag 11 november 2019 kl. 13:13:04 UTC+1 skrev Eram semper recta:
> > On Monday, November 11, 2019 at 1:47:12 AM UTC-5, Zelos Malum wrote:
> > > Den söndag 10 november 2019 kl. 16:32:33 UTC+1 skrev Eram semper recta:
> > > > Rudin's Bullshit book is referenced:
> > > >
> > > > https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
> > > >
> > > >
> > > > On Page 59 (Page 68 of PDF) we have:
> > > >
> > > > ---------
> > > > s = \sum_{n=1}^{\infty} a_n
> > > >
> > > > The number s is called the sum of the series; but it should be clearly understood that s is the limit of a sequence of sums, and is not obtained simply by addition.
> > > >
> > > > ---------
> > > >
> > > > Notice that is states clearly:
> > > >
> > > > BUT it should be clearly understood that s is the LIMIT of a SEQUENCE of SUMS, and is NOT obtained simply by ADDITION.
> > > >
> > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > >
> > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > >
> > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > >
> > > > {S(1); S(2); S(3); ...}
> > > >
> > > > where
> > > >
> > > > S(n) = (1/3)*[1-10^(-n)]
> > > >
> > > > Okay so far you incorrigibly stupid cunts?
> > > >
> > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > >
> > > > S(n) = 1/3 - 1/(3*(10^n))
> > > >
> > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > >
> > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > >
> > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > >
> > > > YOU HAVE BEEN WARNED.
> > >
> > > You are aware it never has to "reach" it, right?
> > I am. But YOU are not!
> >
> > 0.333... = 1/3 means the limit is reached, you utter moron.
> No, it does not mean that the partial sums have to reach the limit.

It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.

> That's what a limit means. It it the limiting value.

You don't understand limits.

måndag 4 september 2023 kl. 13:49:27 UTC+2 skrev Eram semper recta:
> On Wednesday, 30 August 2023 at 11:40:44 UTC-4, markus...@gmail.com wrote:
> > måndag 11 november 2019 kl. 13:13:04 UTC+1 skrev Eram semper recta:
> > > On Monday, November 11, 2019 at 1:47:12 AM UTC-5, Zelos Malum wrote:
> > > > Den söndag 10 november 2019 kl. 16:32:33 UTC+1 skrev Eram semper recta:
> > > > > Rudin's Bullshit book is referenced:
> > > > >
> > > > > https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
> > > > >
> > > > >
> > > > > On Page 59 (Page 68 of PDF) we have:
> > > > >
> > > > > ---------
> > > > > s = \sum_{n=1}^{\infty} a_n
> > > > >
> > > > > The number s is called the sum of the series; but it should be clearly understood that s is the limit of a sequence of sums, and is not obtained simply by addition.
> > > > >
> > > > > ---------
> > > > >
> > > > > Notice that is states clearly:
> > > > >
> > > > > BUT it should be clearly understood that s is the LIMIT of a SEQUENCE of SUMS, and is NOT obtained simply by ADDITION.
> > > > >
> > > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > > >
> > > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > > >
> > > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > > >
> > > > > {S(1); S(2); S(3); ...}
> > > > >
> > > > > where
> > > > >
> > > > > S(n) = (1/3)*[1-10^(-n)]
> > > > >
> > > > > Okay so far you incorrigibly stupid cunts?
> > > > >
> > > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > > >
> > > > > S(n) = 1/3 - 1/(3*(10^n))
> > > > >
> > > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > > >
> > > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > > >
> > > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > > >
> > > > > YOU HAVE BEEN WARNED.
> > > >
> > > > You are aware it never has to "reach" it, right?
> > > I am. But YOU are not!
> > >
> > > 0.333... = 1/3 means the limit is reached, you utter moron.
> > No, it does not mean that the partial sums have to reach the limit.
> It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.
> > That's what a limit means. It it the limiting value.
> You don't understand limits.

I don't understand what you don't understand. You agree the limit of the partial sums is 1/3. That is what the infinite series is defined to be.

On Tuesday, 5 September 2023 at 08:03:26 UTC-4, markus...@gmail.com wrote:
> måndag 4 september 2023 kl. 13:49:27 UTC+2 skrev Eram semper recta:
> > On Wednesday, 30 August 2023 at 11:40:44 UTC-4, markus...@gmail.com wrote:
> > > måndag 11 november 2019 kl. 13:13:04 UTC+1 skrev Eram semper recta:
> > > > On Monday, November 11, 2019 at 1:47:12 AM UTC-5, Zelos Malum wrote:
> > > > > Den söndag 10 november 2019 kl. 16:32:33 UTC+1 skrev Eram semper recta:
> > > > > > Rudin's Bullshit book is referenced:
> > > > > >
> > > > > > https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
> > > > > >
> > > > > >
> > > > > > On Page 59 (Page 68 of PDF) we have:
> > > > > >
> > > > > > ---------
> > > > > > s = \sum_{n=1}^{\infty} a_n
> > > > > >
> > > > > > The number s is called the sum of the series; but it should be clearly understood that s is the limit of a sequence of sums, and is not obtained simply by addition.
> > > > > >
> > > > > > ---------
> > > > > >
> > > > > > Notice that is states clearly:
> > > > > >
> > > > > > BUT it should be clearly understood that s is the LIMIT of a SEQUENCE of SUMS, and is NOT obtained simply by ADDITION.
> > > > > >
> > > > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > > > >
> > > > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > > > >
> > > > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > > > >
> > > > > > {S(1); S(2); S(3); ...}
> > > > > >
> > > > > > where
> > > > > >
> > > > > > S(n) = (1/3)*[1-10^(-n)]
> > > > > >
> > > > > > Okay so far you incorrigibly stupid cunts?
> > > > > >
> > > > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > > > >
> > > > > > S(n) = 1/3 - 1/(3*(10^n))
> > > > > >
> > > > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > > > >
> > > > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > > > >
> > > > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > > > >
> > > > > > YOU HAVE BEEN WARNED.
> > > > >
> > > > > You are aware it never has to "reach" it, right?
> > > > I am. But YOU are not!
> > > >
> > > > 0.333... = 1/3 means the limit is reached, you utter moron.
> > > No, it does not mean that the partial sums have to reach the limit.
> > It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.
> > > That's what a limit means. It it the limiting value.
> > You don't understand limits.
> I don't understand what you don't understand. You agree the limit of the partial sums is 1/3. That is what the infinite series is defined to be.

Shut up moron!

tisdag 5 september 2023 kl. 15:37:47 UTC+2 skrev Eram semper recta:
> On Tuesday, 5 September 2023 at 08:03:26 UTC-4, markus...@gmail.com wrote:
> > måndag 4 september 2023 kl. 13:49:27 UTC+2 skrev Eram semper recta:
> > > On Wednesday, 30 August 2023 at 11:40:44 UTC-4, markus...@gmail.com wrote:
> > > > måndag 11 november 2019 kl. 13:13:04 UTC+1 skrev Eram semper recta:
> > > > > On Monday, November 11, 2019 at 1:47:12 AM UTC-5, Zelos Malum wrote:
> > > > > > Den söndag 10 november 2019 kl. 16:32:33 UTC+1 skrev Eram semper recta:
> > > > > > > Rudin's Bullshit book is referenced:
> > > > > > >
> > > > > > > https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
> > > > > > >
> > > > > > >
> > > > > > > On Page 59 (Page 68 of PDF) we have:
> > > > > > >
> > > > > > > ---------
> > > > > > > s = \sum_{n=1}^{\infty} a_n
> > > > > > >
> > > > > > > The number s is called the sum of the series; but it should be clearly understood that s is the limit of a sequence of sums, and is not obtained simply by addition.
> > > > > > >
> > > > > > > ---------
> > > > > > >
> > > > > > > Notice that is states clearly:
> > > > > > >
> > > > > > > BUT it should be clearly understood that s is the LIMIT of a SEQUENCE of SUMS, and is NOT obtained simply by ADDITION.
> > > > > > >
> > > > > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > > > > >
> > > > > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > > > > >
> > > > > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > > > > >
> > > > > > > {S(1); S(2); S(3); ...}
> > > > > > >
> > > > > > > where
> > > > > > >
> > > > > > > S(n) = (1/3)*[1-10^(-n)]
> > > > > > >
> > > > > > > Okay so far you incorrigibly stupid cunts?
> > > > > > >
> > > > > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > > > > >
> > > > > > > S(n) = 1/3 - 1/(3*(10^n))
> > > > > > >
> > > > > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > > > > >
> > > > > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > > > > >
> > > > > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > > > > >
> > > > > > > YOU HAVE BEEN WARNED.
> > > > > >
> > > > > > You are aware it never has to "reach" it, right?
> > > > > I am. But YOU are not!
> > > > >
> > > > > 0.333... = 1/3 means the limit is reached, you utter moron.
> > > > No, it does not mean that the partial sums have to reach the limit.
> > > It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.
> > > > That's what a limit means. It it the limiting value.
> > > You don't understand limits.
> > I don't understand what you don't understand. You agree the limit of the partial sums is 1/3. That is what the infinite series is defined to be.
> Shut up moron!
Explain what part you don't understand.

On Wednesday, 13 September 2023 at 17:20:51 UTC-4, markus
> > > > > > > > https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
> > > > > > > >
> > > > > > > >
> > > > > > > > On Page 59 (Page 68 of PDF) we have:
> > > > > > > >
> > > > > > > > ---------
> > > > > > > > s = \sum_{n=1}^{\infty} a_n
> > > > > > > >
> > > > > > > > The number s is called the sum of the series; but it should be clearly understood that s is the limit of a sequence of sums, and is not obtained simply by addition.
> > > > > > > >
> > > > > > > > ---------
> > > > > > > >
> > > > > > > > Notice that is states clearly:
> > > > > > > >
> > > > > > > > BUT it should be clearly understood that s is the LIMIT of a SEQUENCE of SUMS, and is NOT obtained simply by ADDITION.
> > > > > > > >
> > > > > > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > > > > > >
> > > > > > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > > > > > >
> > > > > > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > > > > > >
> > > > > > > > {S(1); S(2); S(3); ...}
> > > > > > > >
> > > > > > > > where
> > > > > > > >
> > > > > > > > S(n) = (1/3)*[1-10^(-n)]
> > > > > > > >
> > > > > > > > Okay so far you incorrigibly stupid cunts?
> > > > > > > >
> > > > > > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > > > > > >
> > > > > > > > S(n) = 1/3 - 1/(3*(10^n))
> > > > > > > >
> > > > > > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > > > > > >
> > > > > > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > > > > > >
> > > > > > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > > > > > >
> > > > > > > > YOU HAVE BEEN WARNED.
> > > > > > >
> > > > > > > You are aware it never has to "reach" it, right?
> > > > > > I am. But YOU are not!
> > > > > >
> > > > > > 0.333... = 1/3 means the limit is reached, you utter moron.
> > > > > No, it does not mean that the partial sums have to reach the limit.
> > > > It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.
> > > > > That's what a limit means. It it the limiting value.
> > > > You don't understand limits.
> > > I don't understand what you don't understand. You agree the limit of the partial sums is 1/3. That is what the infinite series is defined to be.
> > Shut up moron!
> Explain what part you don't understand.

He does not understand how one can be such a moron like you. Come to think of it, most rational people do not.

torsdag 14 september 2023 kl. 13:42:13 UTC+2 skrev Eram semper recta:
> On Wednesday, 13 September 2023 at 17:20:51 UTC-4, markus
> > > > > > > > > https://notendur.hi.is/vae11/%C3%9Eekking/principles_of_mathematical_analysis_walter_rudin.pdf
> > > > > > > > >
> > > > > > > > >
> > > > > > > > > On Page 59 (Page 68 of PDF) we have:
> > > > > > > > >
> > > > > > > > > ---------
> > > > > > > > > s = \sum_{n=1}^{\infty} a_n
> > > > > > > > >
> > > > > > > > > The number s is called the sum of the series; but it should be clearly understood that s is the limit of a sequence of sums, and is not obtained simply by addition.
> > > > > > > > >
> > > > > > > > > ---------
> > > > > > > > >
> > > > > > > > > Notice that is states clearly:
> > > > > > > > >
> > > > > > > > > BUT it should be clearly understood that s is the LIMIT of a SEQUENCE of SUMS, and is NOT obtained simply by ADDITION.
> > > > > > > > >
> > > > > > > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > > > > > > >
> > > > > > > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > > > > > > >
> > > > > > > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > > > > > > >
> > > > > > > > > {S(1); S(2); S(3); ...}
> > > > > > > > >
> > > > > > > > > where
> > > > > > > > >
> > > > > > > > > S(n) = (1/3)*[1-10^(-n)]
> > > > > > > > >
> > > > > > > > > Okay so far you incorrigibly stupid cunts?
> > > > > > > > >
> > > > > > > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > > > > > > >
> > > > > > > > > S(n) = 1/3 - 1/(3*(10^n))
> > > > > > > > >
> > > > > > > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > > > > > > >
> > > > > > > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > > > > > > >
> > > > > > > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > > > > > > >
> > > > > > > > > YOU HAVE BEEN WARNED.
> > > > > > > >
> > > > > > > > You are aware it never has to "reach" it, right?
> > > > > > > I am. But YOU are not!
> > > > > > >
> > > > > > > 0.333... = 1/3 means the limit is reached, you utter moron.
> > > > > > No, it does not mean that the partial sums have to reach the limit.
> > > > > It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.
> > > > > > That's what a limit means. It it the limiting value.
> > > > > You don't understand limits.
> > > > I don't understand what you don't understand. You agree the limit of the partial sums is 1/3. That is what the infinite series is defined to be.
> > > Shut up moron!
> > Explain what part you don't understand.
> He does not understand how one can be such a moron like you. Come to think of it, most rational people do not.
Just explain why you think that S=lim S is the definition when it clearly isn't.

On Thursday, 14 September 2023 at 14:56:45 UTC-4, markus..> > > > >
> > > > > > > > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > > > > > > > >
> > > > > > > > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > > > > > > > >
> > > > > > > > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > > > > > > > >
> > > > > > > > > > {S(1); S(2); S(3); ...}
> > > > > > > > > >
> > > > > > > > > > where
> > > > > > > > > >
> > > > > > > > > > S(n) = (1/3)*[1-10^(-n)]
> > > > > > > > > >
> > > > > > > > > > Okay so far you incorrigibly stupid cunts?
> > > > > > > > > >
> > > > > > > > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > > > > > > > >
> > > > > > > > > > S(n) = 1/3 - 1/(3*(10^n))
> > > > > > > > > >
> > > > > > > > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > > > > > > > >
> > > > > > > > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > > > > > > > >
> > > > > > > > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > > > > > > > >
> > > > > > > > > > YOU HAVE BEEN WARNED.
> > > > > > > > >
> > > > > > > > > You are aware it never has to "reach" it, right?
> > > > > > > > I am. But YOU are not!
> > > > > > > >
> > > > > > > > 0.333... = 1/3 means the limit is reached, you utter moron.
> > > > > > > No, it does not mean that the partial sums have to reach the limit.
> > > > > > It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.
> > > > > > > That's what a limit means. It it the limiting value.
> > > > > > You don't understand limits.
> > > > > I don't understand what you don't understand. You agree the limit of the partial sums is 1/3. That is what the infinite series is defined to be.
> > > > Shut up moron!
> > > Explain what part you don't understand.
> > He does not understand how one can be such a moron like you. Come to think of it, most rational people do not.
> Just explain why you think that S=lim S is the definition when it clearly isn't.

Been explained many times. But troll that you are, you simply ask the same question over and over again.

Everyone knows you are a troll!

No sense in wasting time on an incorrigible idiot like you.

On Friday, September 15, 2023 at 12:20:41 AM UTC+2, Eram semper recta wrote:

> No sense in wasting time on an incorrigible idiot like you.

So why do you do it?

You like non-sense?

fredag 15 september 2023 kl. 00:20:41 UTC+2 skrev Eram semper recta:
> On Thursday, 14 September 2023 at 14:56:45 UTC-4, markus..> > > > >
> > > > > > > > > > > So, a series is simply a partial sum. There is NO such thing as an infinite series. 0.3+0.03+0.003+... is NOT an infinite series but a partial sum 0.3+0.03+0.003 followed by "+...". Nothing more, nothing less. It is 100% FINITE. Get it morons?
> > > > > > > > > > >
> > > > > > > > > > > Next, a sequence is obtained from a series. Any guesses? Chuckle.
> > > > > > > > > > >
> > > > > > > > > > > Right! The terms of a sequence are obtained from the partial sums of a series. In the example 0.3+0.03+0.003, the partial sums are given by:
> > > > > > > > > > >
> > > > > > > > > > > {S(1); S(2); S(3); ...}
> > > > > > > > > > >
> > > > > > > > > > > where
> > > > > > > > > > >
> > > > > > > > > > > S(n) = (1/3)*[1-10^(-n)]
> > > > > > > > > > >
> > > > > > > > > > > Okay so far you incorrigibly stupid cunts?
> > > > > > > > > > >
> > > > > > > > > > > Now, in analysis, we consider what happens as the number of terms in any partial sum increases indefinitely. NOTHING about "infinity" there you syphilitic bastards!!!!!
> > > > > > > > > > >
> > > > > > > > > > > S(n) = 1/3 - 1/(3*(10^n))
> > > > > > > > > > >
> > > > > > > > > > > IF n increases indefinitely, THEN 1/(3*(10^n)) decreases indefinitely. No imbeciles, 1/(3*(10^n)) NEVER becomes ZERO. Now, IF 1/(3*(10^n)) increases indefinitely, THEN the partial sum 1/3 - 1/(3*(10^n)) increases indefinitely to 1/3, but NEVER becomes 1/3.
> > > > > > > > > > >
> > > > > > > > > > > All this elementary crap was taught in high school. Unfortunately, the morons who followed Euler's S = Lim S, imagined that s = S(oo). In other words, the fools imagined that an infinite sum is possible. Sound weird?! Of course!!!!
> > > > > > > > > > >
> > > > > > > > > > > Don't fall for this bullshit but call out the moron who tries to peddle this in your class lest you become a prize idiot like one of your mainstream mythmatics professors.
> > > > > > > > > > >
> > > > > > > > > > > YOU HAVE BEEN WARNED.
> > > > > > > > > >
> > > > > > > > > > You are aware it never has to "reach" it, right?
> > > > > > > > > I am. But YOU are not!
> > > > > > > > >
> > > > > > > > > 0.333... = 1/3 means the limit is reached, you utter moron.
> > > > > > > > No, it does not mean that the partial sums have to reach the limit.
> > > > > > > It is reached in terms of convergence, you moron! Of course, it's absurd to think that anyone can add up an innumerable number of terms - this is what I have been telling you all along. Also, 1/3 has no measure in base 10 meaning that even if such a sum were possible, it would contradict the most important number theorem.
> > > > > > > > That's what a limit means. It it the limiting value.
> > > > > > > You don't understand limits.
> > > > > > I don't understand what you don't understand. You agree the limit of the partial sums is 1/3. That is what the infinite series is defined to be.
> > > > > Shut up moron!
> > > > Explain what part you don't understand.
> > > He does not understand how one can be such a moron like you. Come to think of it, most rational people do not.
> > Just explain why you think that S=lim S is the definition when it clearly isn't.
> Been explained many times. But troll that you are, you simply ask the same question over and over again.
>
> Everyone knows you are a troll!
>
> No sense in wasting time on an incorrigible idiot like you.
I have to ask over and over because you are simply now answering. Why do you think "the series = the limit of the series" is the definition when the definition is that the series is defined as the limit of the partial sums?

On Thursday, 14 September 2023 at 18:22:40 UTC-4, Fritz Feldhase wrote:
> On Friday, September 15, 2023 at 12:20:41 AM UTC+2, Eram semper recta wrote:
>
> > No sense in wasting time on an incorrigible idiot like you.
> So why do you do it?

To warn others about fucking morons like you!

>
> I like non-sense?

Yes, that is true.