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Complete the Table and Use the Result to Estimate lim⁡x→−2x+2x2−x−6\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→−2x+2x2−x−6\lim _{x \rightarrow-2} \frac{x+2}{x^{2}-x-6} numerically.

x−2.1−2.01−2.001−2−1.999−1.99−1.9f(x) ?\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) −15 -\frac{1}{5}
B) 5
C) ∞ \infty
D) -5
E) limit does not exist

Correct Answer:

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