Hi, I have some difficulty proving the following

Decide when converges when theratio test fails.I think that it will diverge, but I'm not sure how to prove it. (Worried)

Thanks in advance

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- Nov 16th 2008, 07:58 PMakolmanconvergence of an infinite series
Hi, I have some difficulty proving the following

Decide when converges when the**ratio test fails.**I think that it will diverge, but I'm not sure how to prove it. (Worried)

Thanks in advance - Nov 17th 2008, 04:54 AMOpalg
The ratio test fails when . At , use the comparison test to compare the series with , using Stirling's formula. At , use the alternating series test.