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

question 79

Multiple Choice

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 \(16\)

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