1. The problem statement, all variables and given/known data Find if the sum from n = 1 to infinity of (n^n)/n! diverges or not. 2. Relevant equations p = an+1/an 3. The attempt at a solution Using the comparison test I get to the point where p_n = (n+1)^(n+1) / [(n+1) n^n] Shouldnt p just be 0, dont (n+1)^(n+1) and n^n cancel for large n? The book says the answer is p = e, how do you get there? Thanks for the help!