#### Answer

$-1$

#### Work Step by Step

Note that, $\lim\limits_{x \to a}\cos x=\cos a$ for all real numbers $a$. Using this along with our limit laws, we get
$\lim\limits_{x \to 0}[(x^2-1)(2-\cos x)]=(0-1)(2-\cos 0)=(-1)(2-1)=(-1)(1)=-1.$

Published by
Pearson

ISBN 10:
0-32187-896-5

ISBN 13:
978-0-32187-896-0

$-1$

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