Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.2 Limits: A Numerical and Graphical Approach - Exercises - Page 54: 18



Work Step by Step

Evaluating the function at -4, it is of the form 0/0. We try to cancel the factors and rewrite the function. $\lim\limits_{x \to -4}\frac{2x^{2}-32}{x+4}$= $\lim\limits_{x \to -4}\frac{2(x+4)(x-4)}{x+4}$= $\lim\limits_{x \to -4}2(x-4)$ = 2(-4-4)= 2(-8) = -16
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