2.10.133 Number Series

Condition: a) Prove that the row goes, b) find the amount of the row with an accuracy of 0.00001: 1) \ (\ sum_ {n = 1}^{\ infty} \ frac {n^{2} \ cdot 2^{n}} {n+2)!}; \ QUAD \ sum_ {n = 1}^{\ infty} \ frac {(-1)^{n}} {\ sin^{2} n+n} \).