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January 30th, 2013, 01:43 PM   #1
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how can solve this series?

Hi all,

I have to study the convergence of this series:



I know (from wolfram) that for the comparison test the series converges (in particularly to 1,4427)

I know that if I find a new series, b(k), such that for all k b(k)>a(k) then if b(k) converges also a(k) converges.. but what is b(k)? and what is the right method to find it?

thanks to all, and I'm sorry for my bad english
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January 30th, 2013, 04:35 PM   #2
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Re: how can solve this series?

Hello!
The partial sum for this serie is
by telscoping :
The sum of the serie is:
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