Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.2 Limits: A Numerical and Graphical Approach - Preliminary Questions - Page 53: 4

Answer

Yes, see the example below.

Work Step by Step

Yes, as an example $$ f(x)=\frac{x^2-1}{x^2-x}$$ is not defined at $ x=1$; however, $$\lim\limits_{x \to 1}\frac{x^2-1}{x^2-x}=\lim\limits_{x \to 1}\frac{x+1}{x}=2.$$
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