Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.4 Infinite Limits - 2.4 Exercises - Page 86: 13

Answer

$ a.\quad\infty$. $ b.\quad-\infty$. $ c.\quad-\infty$. $ d.\quad\infty$.

Work Step by Step

See screenshot below. $ a.\quad$ Nearing $x=0$ from the left, the graph rises without bound. $\displaystyle \lim_{x\rightarrow 0^{-}}f(x)=\infty$. $ b.\quad$ Nearing $x=0$ from the right, the graph falls without bound. $\displaystyle \lim_{x\rightarrow 0^{+}}f(x)=-\infty$. $ c.\quad$ Nearing $x=1$ from the left, the graph falls without bound. $\displaystyle \lim_{x\rightarrow 1^{-}}f(x)=-\infty$. $ d.\quad$ Nearing $x=1$ from the right, the graph rises without bound. $\displaystyle \lim_{x\rightarrow 1^{+}}f(x)=\infty$.
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