/sci/ - Science & Math » Thread #12056914

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Wack series I thought of

Anonymous Fri 28 Aug 06:44:34 2020 No.12056914 View Reply Original Report

Quoted By: >>12056924 >>12056930 >>12056953

What value of x, if any, makes this series converge to 0?

Anonymous

Anonymous Fri 28 Aug 2020 06:48:47 No.12056922 Report

Quoted By: >>12056949

There's no such value of $x$

Anonymous

Anonymous Fri 28 Aug 2020 06:50:37 No.12056924 Report

Quoted By: >>12056933 >>12056934 >>12056949

>>12056914
That's just 1/(1-(-x)) = 1/(1+x), so to make it 0, x would have to be infinite.

Anonymous

Anonymous Fri 28 Aug 2020 06:51:47 No.12056927 Report

Quoted By:

I'm thinking it's a non-real value

Anonymous

Anonymous Fri 28 Aug 2020 06:53:37 No.12056930 Report

Quoted By:

>>12056914
No real value of x would satify it, though there might be complex solutions

Anonymous

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Anonymous Fri 28 Aug 2020 06:53:58 No.12056933 Report

Quoted By:

>>12056924
>That's just 1/(1-(-x))

It's not a geometric series bud

Anonymous

Anonymous Fri 28 Aug 2020 06:54:04 No.12056934 Report

Quoted By:

>>12056924
lol x has to be between 0 and 1 for that summation to work

El Arcón

El Arcón Fri 28 Aug 2020 07:04:38 No.12056949 Report

Quoted By: >>12056964 >>12057014

>>12056922
x=infinity is obviously one such value.

>>12056924
any number greater than every natural number would suffice, not just infinity

Anonymous

Anonymous Fri 28 Aug 2020 07:07:52 No.12056953 Report

Quoted By:

>>12056914
thinly veiled Riemann Hypothesis thread

Anonymous

Anonymous Fri 28 Aug 2020 07:15:24 No.12056964 Report

Quoted By: >>12056968 >>12057014

>>12056949
x = infinity just results in that being equal to 1 + 0 + 0 + .... = 1 since 1/(1^infinity) is just one.

El Arcón

El Arcón Fri 28 Aug 2020 07:18:52 No.12056968 Report

Quoted By: >>12057014

>>12056964
you are correct! oops.

Anonymous

Anonymous Fri 28 Aug 2020 07:59:58 No.12057014 Report

Quoted By: >>12057037

>>12056949
>>12056964
>>12056968
Try $x = \widehat{\infty}$ instead

El Arcón

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El Arcón Fri 28 Aug 2020 08:16:44 No.12057037 Report

Quoted By:

>>12057014
I messed that one up

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