For the series $\sum_{r=1}^{\infty}\ln\left(\frac r{r+1}\right)$, decide whether it converges. If

Question

For the series $\sum_{r=1}^{\infty}\ln\left(\frac r{r+1}\right)$, decide whether it converges. If it does, find its sum.

Accepted Answer

diverges to $-\infty$

Convergence and sum to infinity