Determine $\lim _ { x \rightarrow 1 } f ( x )$

Multiple Choice

Determine $\lim _ { x \rightarrow 1 } f ( x )$ where $f ( x ) = \left\{ \begin{array} { l } 15 - x ^ { 2 } , x \leq 1 \\12 - x , x > 1\end{array} \right.$ (if it exists) by evaluating the corresponding one-sided limits.

A) limit does not exist
B) 11
C) 12
D) 14
E) 15