Question

Determine convergence or divergence of the series

Answer 1

\[\sum_{2}^{\infty}=\frac{ \ln (n) }{ n+1 }\] Determine using the direct comparison test.

Answer 2

\[\int\limits_{2}^{\infty}=\frac{ \ln(n) }{ n}\] I assume I would compare it to this then integrate. When I integrate by parts I get \[1/2 \ln (t)\] Am I doing this correctly?

Answer 3

Sorry integrate by substitution