For the series $\sum_{r=1}^{\infty}\frac1{r(r+1)}$, decide whether it converges. If it does, find

Question

For the series $\sum_{r=1}^{\infty}\frac1{r(r+1)}$, decide whether it converges. If it does, find its sum.

Accepted Answer

Converges to $1$

Convergence and sum to infinity