University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.2 - Limit of a Function and Limit Laws - Exercises: 48

Answer

$\lim\limits_{x \to 0}(x^{2}-1)(2-cosx) = -1$

Work Step by Step

$\lim\limits_{x \to 0}(x^{2}-1)(2-cosx) = \lim\limits_{x \to 0}(2x^{2}-x^{2}cosx - 2 + cosx) = 0+0-2+1 = -1$
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