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: 7

Answer

a) -$\infty$ b) -$\infty$ c) -$\infty$ d) 1

Work Step by Step

a) $\lim\limits_{x \to 3^-}$ means limit as x approaches positive 3 from the left. As shown in the graph as x approaches 3 from the left, the value of x approaches negative infinity. b) $\lim\limits_{x \to 3^+}$ means limit as x approaches positive 3 from the right. As shown in the graph as x approaches 3 from the right, the value of x approaches negative infinity. c) as x approaches 3 from both sides the value of x approaches negative infinity d) the value of y when x is 3 equals 1.
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