Let $f ( x ) = \left\{ \begin{array} { c c } - x ^ { 2 } + 2 & - 3 < x < 0 \\3 & x = 0 \\2 x + 4 & 0 < x \leq 3\end{array} \right.$

Multiple Choice

Let $f ( x ) = \left\{ \begin{array} { c c } - x ^ { 2 } + 2 & - 3 < x < 0 \\3 & x = 0 \\2 x + 4 & 0 < x \leq 3\end{array} \right.$ Which of the following is true for $\lim _ { x \rightarrow 0 } f ( x )$ ?

A) 2
B) 3
C) 4
D) 0
E) Does not exist