Question

HELP! Convergent, divergent, absolutely convergent, or conditionally convergent. Show all work and state what test you used to make your determination.

Answer 1

\[\sum_{n=1}^{\infty}(-1)^n \frac{ 1 }{ \sqrt[n]{n} }\]

Answer 2

\[\sum_{n=1}^{\infty}\frac{ n+\cos n }{ n^3+1 }\]