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

question 23

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

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