Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.3 Exercises: 39

Answer

a) 64 b) 2 c) 12 d) 8

Work Step by Step

a) $\lim\limits_{x \to c} [f(x)]^3 = [\lim\limits_{x \to c} f(x)]^3 = (4)^3 = 64 $ b) $\lim\limits_{x \to c}\ \sqrt {f(x)} = \sqrt {\lim\limits_{x \to c}f(x)} = \sqrt 4 = 2$ c) $\lim\limits_{x \to c} [3f(x)]= 3\lim\limits_{x \to c} f(x) = 3(4) = 12 $ d) $\lim\limits_{x \to c} [f(x)]^{3/2} = [\lim\limits_{x \to c} f(x)]^{3/2} = (4)^{3/2} = 8$
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