Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.4 - The Precise Definition of a Limit - 2.4 Exercises - Page 114: 41


$x$ 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 $-3$
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