1. The problem statement, all variables and given/known data Σ(n!)/(n^n) 2. Relevant equations Does the series converge or diverge? 3. The attempt at a solution My prof. suggested we compare it to n^(n-2)/n^n. I found that n^(n-2)/n^n was convergent since it was like 1/n^2 which is a p series where p>1. Therefore by the comparison theorem, the original series is convergent. I'm hoping this is the right answer, but I thought it was too easy for what was deemed a tricky problem, even with the hint.