Question

Determine the convergence or divergence of the series. This one I have no clue what to do.

Answer 1

\[\sum_{k=1}^{\infty}\frac{ k \ln k }{ (k+1)^3 }\]

Answer 2

you need a test?

Answer 3

compare it to \(\sum\frac{ln(k)}{k^2}\) which converges by the integral test

Answer 4

yay, that's smart.

Answer 5

I figured it out with that comparison.