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!