1. The problem statement, all variables and given/known data Show that the following series converges: 2. Relevant equations Sum of n=1 to n=infinity of [(n+1)/(n^2 +1)]^2 3. The attempt at a solution I thought about using the ratio test, so if the limit as n tends to infinity of a(n+1) / a(n) < 1, then a(n) - the series - would converge. Once i put a(n+1)/a(n), i don't really know how to continue.