Calculus: Early Transcendentals 9th Edition

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: 24

Answer

Choose any value for $\delta$

Work Step by Step

Let $\epsilon \gt 0$ be given. Choose any value for $\delta$ If $\vert x-a \vert \lt \delta$, then $\vert c-c \vert = 0 \lt \epsilon$ Therefore, $\lim\limits_{x \to a} c = c$
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