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: 8

Answer

a) $\infty$ b) $\infty$ c) $\infty$ d) does not exist

Work Step by Step

a) $\lim\limits_{x \to 4^-}$ means limit as x approaches positive 4 from the left. As shown in the graph as x approaches 4 from the left, the value of x approaches infinity. b) $\lim\limits_{x \to 4^+}$ means limit as x approaches positive 4 from the right. As shown in the graph as x approaches 4 from the right, the value of x approaches infinity. c) as x approaches 4 from both sides the value of x approaches infinity d) since there is no point on the graph that displays a value of x, the answer is DNE (does not exist)
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