/sci/ - Science & Math » Thread #13938354

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Mathies help

Anonymous Wed 08 Dec 11:04:44 2021 No.13938354 View Reply Original Report

Quoted By: >>13938522 >>13938585 >>13938670 >>13938804

I already know the first one can be done via the comparison test. Any idea about the other two?

Anonymous

Anonymous Wed 08 Dec 2021 12:37:40 No.13938522 Report

Quoted By: >>13938531

>>13938354
the second one increases monotonously, but is smaller than the series (1/2)^n which converges so it converges as well

Anonymous

Anonymous Wed 08 Dec 2021 12:41:30 No.13938531 Report

Quoted By:

>>13938522
nice, thats what i was thinking, but for the final one, i tried to apply the ratio test, but ran into some troubles while simplifying. The factorial part is easy to deal with, but the n^2n possess a problem

Anonymous

Anonymous Wed 08 Dec 2021 13:09:25 No.13938577 Report

Quoted By:

1. Diverge. Harmonic.
2. Converge. Exponential.
3. Converge. Stirling.

Anonymous

Anonymous Wed 08 Dec 2021 13:12:37 No.13938585 Report

Quoted By:

>>13938354
wolframalpha.com

Anonymous

Anonymous Wed 08 Dec 2021 13:47:22 No.13938670 Report

Quoted By:

>>13938354
ii. 1/2 - (1/3,1/6,1/9,/1/12,...)
iii. 2!/1^2,4!/2^4,6!/3^6,8!/4^8
or 2,4,6...!/1,2,3,...^(2,4,6,...)

Anonymous

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Anonymous Wed 08 Dec 2021 14:40:17 No.13938804 Report

Quoted By: >>13938828

>>13938354

Anonymous

Anonymous Wed 08 Dec 2021 14:53:49 No.13938828 Report

Quoted By:

>>13938804
appreciate it anon, one look at the sloppy handwriting proves ur a real mathematician i dont need to doubt the maths

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