Given the series:

${\displaystyle \underset{k=8}{\overset{}{}}}[\frac{1}{k}-\frac{1}{k+1}]$

does this series converge or diverge?

converges

diverges

If the series converges, find the sum of the series:

${\displaystyle \underset{k=8}{\overset{}{}}}[\frac{1}{k}-\frac{1}{k+1}]=$

$($If the series diverges, just leave this second box blank.$)$