Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.1 Limits (An Intuitive Approach) - Exercises Set 1.1 - Page 59: 2

Answer

$ \lim\limits_{x \to 0^-} G(x) = \lim\limits_{x \to 0^+} G(x) = \lim\limits_{x \to 0} G(x) = G(0) = 0 $

Work Step by Step

The function behaves very nicely around the point $ x = 0 $ (it is continuous at $ x= 0 $) and thus, $ \lim\limits_{x \to 0^-} G(x) = \lim\limits_{x \to 0^+} G(x) = \lim\limits_{x \to 0} G(x) = G(0) = 0 $
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