Determine whether (-1)^n/ln(n!) is divergent, conditionally convergent, or absolutely convergent.
None, really? :S
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!