Introduction to Limits · Superchallenge problem

For $h(x)=\dfrac{x^{2}-4}{|x-2|}$, find $\displaystyle\lim_{x\to2^{+}}h(x)$ and $\displaystyle\lim_{x\to2^{-}}h(x)$, then decide whether $\displaystyle\lim_{x\to2}h(x)$ exists.