Is There a Number a Such That $\lim _{x \rightarrow-3} \frac{3 x^{2}+a x+a+3}{x^{2}+x-16}$

Is there a number a such that $\lim _{x \rightarrow-3} \frac{3 x^{2}+a x+a+3}{x^{2}+x-16}$ exists? If so, find the value of a and the value of the limit.

A) $a=-15$ , limit equals $-1.5$
B) $a=15$ , limit equals $1.5$
C) $a=15$ , limit equals $-1.5$
D) $a=-15$ , limit equals $1.5$
E) $a=15$ , limit equals $16$

Correct Answer:

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