Let $F(x)= \displaystyle \frac{x^2-9}{|x-3|}$.

Find each of the following limits. If the limit does not exist, enter DNE below.

(a) $\displaystyle \lim_{x \to 3^+} F(x)$ =
(b) $\displaystyle \lim_{x \to 3^-} F(x)$ =
(c) $\displaystyle \lim_{x \to 3} F(x)$ =