# Math Help - Partial Sums

1. ## Partial Sums

Prove the following using partial sums:

1/(1(1+1)) + 1/(2(2+1)) + 1/(3(3+1)) + ... + 1/(k(k+1)) = 1 as k approaches infinity.

2. Originally Posted by thamathkid1729
Prove the following using partial sums:

1/(1(1+1)) + 1/(2(2+1)) + 1/(3(3+1)) + ... + 1/(k(k+1)) = 1 as k approaches infinity.
$\displaystyle \frac{1}{k(k+1)}=\frac{1}{k}-\frac{1}{k+1}.$