Let $f(x) = \begin{cases} 4-x^2 & \textrm{if }x \leq 3 \\ x-1 & \textrm{if }x > 3 \\ \end{cases}$

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) $\displaystyle \lim_{x \to 3} f(x)$=