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

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

Correct Answer:

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