Calculus 10th Edition

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

Chapter 3 - Applications of Differentiation - 3.5 Exercises: 20

Answer

$\lim\limits_{x \to \infty} (\frac{5}{x} - \frac{x}{3}) = \infty$

Work Step by Step

As x approaches negative infinity, 5/x approaches 0 and -x/3 approaches positive infinity. $\lim\limits_{x \to \infty} (\frac{5}{x} - \frac{x}{3}) = \lim\limits_{x \to \infty}\frac{5}{x} + \lim\limits_{x \to \infty} -\frac{x}{3} = 0 + \infty = \infty$
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