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Is There a Number aa Such That limx33x2+ax+a+3x2+x6\lim _ { x \rightarrow - 3 } \frac { 3 x ^ { 2 } + a x + a + 3 } { x ^ { 2 } + x - 6 }

question 63

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Is there a number aa such that limx33x2+ax+a+3x2+x6\lim _ { x \rightarrow - 3 } \frac { 3 x ^ { 2 } + a x + a + 3 } { x ^ { 2 } + x - 6 } exists? If so, find the value of aa and the value of the limit.
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