Answer
$\delta = \epsilon$
Work Step by Step
Let $\epsilon \gt 0$ be given.
Let $\delta = \epsilon$
Suppose $\vert x-a \vert \lt \delta$, then $\vert x-a \vert \lt \delta = \epsilon$
Therefore, $\lim\limits_{x \to a} x = a$
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: 23
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