Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Section 2.3 - The Precise Definition of a Limit - Exercises 2.3 - Page 65: 6

Answer

See figure and explanations below.
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Work Step by Step

As $ c-a=0.2409, b-c=0.2391$; we choose $0\lt\delta\leq 0.2391$, so that for any $ x, 0\lt |x-c|\lt\delta $, we have $ a\lt x\lt b $ as can be seen in the figure.
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