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 61: 26

Answer

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Work Step by Step

Sketch of a possible graph for a function \( f \) satisfying \[ \begin{cases} f(-1) = 0,\quad f(0) = 1,\quad f(1) = 0, \\[6pt] \displaystyle \lim_{x \to -1^-} f(x) = 0, \quad \lim_{x \to -1^+} f(x) = +\infty, \\[8pt] \displaystyle \lim_{x \to 1^-} f(x) = 1, \quad \lim_{x \to 1^+} f(x) = +\infty. \end{cases} \]
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