2.10.95 Number Series

Condition: for a given numerical series; a) Write 5 of its first members, b) justify the convergence, c) find the amount using the known decompositions of macloren in elementary functions. \ [\ sum_ {n = 1}^{\ infty} \ frac {(-1)^{n} \ pi^{2 n}} {(2 n)! \ cdot 16^{n}} \]