2.10.98 Number Series

Condition: to explore a series for absolute and conditional convergence. In case of convergence, find the amount of the row with an accuracy of \ (\ varpsilon = 0.01 \). \ [\ sum_ {n = 1}^{\ infty} (-1)^{n} \ left (\ frac {2 n+1} {n+10} \ right)^{n}, \ quad {n = 1}^{\ indy}}}}}} \ frac {(-1)^{n+1} n} {(2 n)!} \]