Is There a Number $a$ Such That $\lim _ { x \rightarrow - 3 } \frac { 3 x ^ { 2 } + a x + a + 3 } { x ^ { 2 } + x - 6 }$

Multiple Choice

Is there a number $a$ such that $\lim _ { x \rightarrow - 3 } \frac { 3 x ^ { 2 } + a x + a + 3 } { x ^ { 2 } + x - 6 }$ exists? If so, find the value of $a$ and the value of the limit.
Select the correct answer.

A) $a = 15$ , limit equals $- 0.6$
B) $a = 15$ , limit equals $0.6$
C) $a = - 15$ , limit equals $0.6$
D) $a = - 15$ , limit equals $- 0.6$
E) $a = 15$ , limit equals 18