Complete the Table and Use the Result to Estimate $\lim _{x \rightarrow-2} \frac{x+2}{x^{2}-x-6}$

Multiple Choice

Complete the table and use the result to estimate $\lim _{x \rightarrow-2} \frac{x+2}{x^{2}-x-6}$ numerically.

$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x & -2.1 & -2.01 & -2.001 & -2 & -1.999 & -1.99 & -1.9 \\\hline f(x) & & & & ? & & & \\\hline\end{array}$

A) $-\frac{1}{5}$
B) 5
C) $\infty$
D) -5
E) limit does not exist