2.10.1 Number series

Problem: Examine the indicated series with positive terms for convergence. 1. \( \sum_{n=1}^{\infty} \frac{n^{n}}{(n+1) !} \), 2. \( \sum_{n=1}^{\infty}\left(\frac{1}{\ln (n+1)}\right)^{2 n} \).