Answer
$8$
Work Step by Step
We know that $\lim\limits_{x \to a} k(x)=k(a)$, where $a$ as a constant.
Thus, we have:
$\lim\limits_{x \to 1} (x^2+1)^3=(1^2+1)^3 \\=(1+1)^3 \\=2^3 \\=8$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.2 Algebra Techniques for Finding Limits - 13.2 Assess Your Understanding - Page 903: 21
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