2.10.131 Number Series

Condition: Explore a row for convergence, illustrate the fact of convergence or divergence of a row, constructing a schedule for a sequence of partial amounts. 1) \ (\ sum_ {n = 1}^{\ infty} \ frac {\ sin^{2} n} {n^{2} +1} \) 2) \ (\ Sum_ {n = 1}^{\ Infty} \ frac {1} {\ sqrt [3] {n} +2} \ arctan \ frac {n+3} {n^{2} +5} \).