MathProblemsBank

2.10.119 Number Series

Condition: investigate the ranks for the convergence: 1) \ (\ sum_ {n = 1}^{\ infty} \ frac {(-1)^{n}} {\ sqrt [5] {n^{3}}} \) 2) \ ( \ sum_ {n = 1}^{\ infty} (-1)^{n-1} \ frac {1} {(n+1) 2^{2 n}} \).