Complete the Table and Use the Result to Estimate $$\lim _ { x \rightarrow - 3 } \frac { x + 3 } { x ^ { 2 } - x - 12 }$$

Complete the table and use the result to estimate $$\lim _ { x \rightarrow - 3 } \frac { x + 3 } { x ^ { 2 } - x - 12 }$$
numerically.
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x & -3.1 & -3.01 & -3.001 & -3 & -2.999 & -2.99 & -2.9 \\\hline f(x) & & & & ? & & & \\\hline\end{array}$

A) $- \frac { 1 } { 7 }$
B) 7
C) $\infty$
D) $- 7$
E) limit does not exist

Correct Answer:

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