Find the limit, if it exists, of the following:

$\displaystyle \lim_{x \to 2}\left(\frac{1}{x-2}-\frac{1}{x^2-4}\right)$

I have tried factoring this in a number of different ways, combining the factions with various denominators and can't seem to get it into a form where the denominator is not 0. I am also unsure as to how I would prove that it has no limit if that is the case.