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: 1

Answer

$ \lim\limits_{x \to 0^-} g(x) = \lim\limits_{x \to 0^+} g(x) = \lim\limits_{x \to 0} g(x) = g(0) = 4 $

Work Step by Step

The function behaves very nicely around the point $x = 0$ (the function 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) = 4 $.
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