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 - Exercises - Page 54: 19



Work Step by Step

We have $$ \lim _{x \rightarrow 2} \frac{x^{2}+x-6}{x^{2}-x-2}= \lim _{x \rightarrow 2} \frac{(x+3)(x-2)}{(x-2)(x+1)}=\lim _{x \rightarrow 2} \frac{x+3}{x+1}=\frac{5}{3}. $$
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