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: 19

Answer

$\lim\limits_{y \to -3}(5-y)^{\frac{4}{3}} = 16$

Work Step by Step

$\lim\limits_{y \to -3}(5-y) = \lim\limits_{y \to -3}5 - \lim\limits_{y \to -3}y$ = 5+3 = 8 Thus: $\lim\limits_{y \to -3}(5-y)^{\frac{4}{3}} = (8)^{\frac{4}{3}} = 16$
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