(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether (-1)^n/ln(n!) is divergent, conditionally convergent, or absolutely convergent.

2. Relevant equations

None, really? :S

3. The attempt at a solution

Okay, so I know the series converges by the Alternating Series test - terms are positive, decreasing, going to zero. I also know that it absolutely converges...because Wolfram Alpha told me so. =P I have no idea how to prove it though. The ratio test results in 1 so that's inconclusive, so I'm left with comparison or limit comparison test..but I don't know what to compare it to.

Thanks in advance for your help!

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# Determining convergence of (-1)^n/ln(n!) as n goes to infinity

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