Hi, I need a hand evaluating a couple of limits without using L'hopital's.

I've done a ton of these so far and I often need to use little 'tricks' like factorising/cancelling etc, but I can't see these two.

$\displaystyle \frac{\sqrt{x+2}-3}{x-7} $ as x approaches 7

and

$\displaystyle \frac{\frac{1}{4} + \frac{1}{x}}{4+x} $ as x approaches -4.

Cheers.