1. The problem statement, all variables and given/known data Does this series converge absolutely or conditionally? 2. Relevant equations Series from n=1 to ∞ (-1)^(n+1) * n!/2^n 3. The attempt at a solution In trying to apply the alternating series test, I have found the following: 1.) n!/2^n > 0 for n>0 2.) Next, in testing to see if n!/2^n is decreasing, I found that (n!/2^n)/((n+1)!/2^(n+1)) < 1 for n large. Stopping here, this suggests the series diverges in its original form. Is this correct? Thank you!