1. ## Telescoping series Question

I am having trouble with this question: sum 4&#x2f;&#x28;n&#x2a;&#x28;n&#x2b;2&#x29;&#x29; from n &#x3d; 1 to inf - Wolfram|Alpha

(My work is attached)

The correct final answer is: 3.

Any help would be greatly appreciated!
$(\frac{2}{1}-\frac{2}{3})+(\frac{2}{2}-\frac{2}{4})+(\frac{2}{3}-\frac{2}{5})+...+(\frac{2}{n}-\frac{2}{n+2})$
You are left with: $2+1+\lim_{n\rightarrow \inf }(\frac{2}{n}-\frac{2}{n+2})$