Answer
$x$ must be within $0.1$ of $-3$
Work Step by Step
$\frac{1}{(x+3)^4} \gt 10,000$
$(x+3)^4 \lt \frac{1}{10,000}$
$\vert x+3 \vert \lt \frac{1}{10}$
$\vert x+3 \vert \lt 0.1$
$x$ must be within $0.1$ of $-3$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 2 - Section 2.4 - The Precise Definition of a Limit - 2.4 Exercises - Page 114: 41
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