Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Section 2.6 - Limits Involving Infinity; Asymptotes of Graphs - Exercises 2.6 - Page 99: 103


See graph and explanations.

Work Step by Step

See graph; when $x\to0^+, y\to-\infty$ or $\lim_{x\to 0^+}\frac{x^2-1}{x}=-\infty$; while when $x\to0^-, y\to\infty$ or $\lim_{x\to 0^-}\frac{x^2-1}{x}=\infty$; the asymptote of the function is $x=0$
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