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

question 79

Multiple Choice

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

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