Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 14 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - 14.2 Algebra Techniques for Finding Limits - 14.2 Assess Your Understanding - Page 884: 21

Answer

$8$

Work Step by Step

Recall: $\lim _{x\rightarrow a}p\left( x\right) =p\left( a\right)$ Thus, $\lim _{x\rightarrow 1}\left( x^{2}+1\right) ^{3} \\=\left( 1^{2}+1\right) ^{3} \\=(1+1)^3 \\=2^{3} \\=8$
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