Hello,

I am having trouble finding out if the following two series converge.

a)

b)

Any help would be appreciated.

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- Sep 8th 2009, 12:54 PMthomasdotnetConvergence test for two series
Hello,

I am having trouble finding out if the following two series converge.

a)

b)

Any help would be appreciated. - Sep 8th 2009, 01:35 PMJester
- Sep 8th 2009, 03:29 PMJG89
For the second one, you can also write .

By the MVT of integral calculus we have , where , and so:

.

What can you say about the convergence/divergence of the series now? - Sep 9th 2009, 09:19 AMthomasdotnet
Thank you very much guys for your help! The second one clearly converges (the integral explanation helped me a lot in understanding why I need to compare this to ).

One thing I cannot completely understand is how you got to for the first series. - Sep 9th 2009, 10:30 AMJester
- Sep 9th 2009, 01:11 PMthomasdotnet
OK, that makes it clearer. Thank you!