MathProblemsBank

2.10.132 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} \ left (\ frac {n+2} {3 n-1} \ right)^{n^{2}} \); 2) \ (\ sum_ {n = 4}^{\ infty} \ frac {1} {(3 n-1) \ squrt {\ ln (n-2)} \).