Answer
$L(x)=x+1$
Work Step by Step
Step 1. $f(x)=1+x$, $f'(x)=1$,
Step 2. Choose $x=8$, $f(8)=9$, $f'(8)=1$,
Step 3. The linearization at $x=8$ is $L(x)=f(8)+f'(8)(x-8)=9+(x-8)=x+1$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 3: Derivatives - Section 3.9 - Linearization and Differentials - Exercises 3.9 - Page 174: 10
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