Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 3 - The Derivative - 3.1 Limits - 3.1 Exercises - Page 137: 34

Answer

$\frac{6}{5}$

Work Step by Step

$\lim\limits_{x \to -3}\frac{x^{2}-9}{x^{2}+x -6} = \lim\limits_{x \to -3}\frac{(x-3)(x+3)}{(x+3)(x-2)}= \lim\limits_{x \to -3} \frac{x-3}{x-2} =\frac{6}{5}$
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