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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