Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.2 Exercises - Page 57: 58

Answer

Numbers approaching $c$ from both directions must belong to the definition interval.

Work Step by Step

The limit definition includes numbers approaching $c$ from both directions, which would not be possible on an interval like $[a,c]$ or $[c,a]$ (on these closed intervals the concept of a limit at $c$ is undefined).
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