University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.2 - Limit of a Function and Limit Laws - Exercises - Page 67: 54

Answer

a) 0 b) 0 c) 9 d) 3

Work Step by Step

a)$ \lim\limits_{x \to 4}(g(x)+3) = (-3+3) = 0$ b)$ \lim\limits_{x \to 4}xf(x) = 4(0) = 0$ c) $ \lim\limits_{x \to 4}(g(x))^{2}= (-3)^{2} = 9$ d)$ \lim\limits_{x \to 4}\frac{g(x)}{f(x)-1}= \frac{-3}{0-1} = 3$
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