Let $f ( x ) = \left\{ \begin{array} { c c } x ^ { 2 } + 2 , & x \neq 1 \\1 , & x = 1\end{array} \right.$

Multiple Choice

Let $f ( x ) = \left\{ \begin{array} { c c } x ^ { 2 } + 2 , & x \neq 1 \\1 , & x = 1\end{array} \right.$ . Determine the following limit. (Hint: Use the graph of the function.) $\lim _ { x \rightarrow \mathbb { 1 } } f ( x )$

A) 3
B) 1
C) 2
D) 4
E) does not exist.