Calculus (3rd Edition)

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

Chapter 2 - Limits - 2.3 Basic Limit Laws - Exercises - Page 59: 26


(a) 16 (b) $\frac{1}{4}$ (c) 12

Work Step by Step

Using the basic limit laws, we have (a) $\lim\limits_{x \to 6}f(x)^{2}=(\lim\limits_{x \to 6}f(x))^{2}=4^{2}=16$ (b) $\lim\limits_{x \to 6}\frac{1}{f(x)}=\frac{1}{\lim\limits_{x \to 6}f(x)}=\frac{1}{4}$ (c) $\lim\limits_{x \to 6} x\sqrt {f(x)}=(\lim\limits_{x \to 6}x)(\sqrt {\lim\limits_{x\to 6}f(x)})$$=6\times\sqrt 4=12$
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