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 - Page 202: 19

Answer

$\lim\limits_{x \to \infty} (4 + \frac{3}{x}) = 4$

Work Step by Step

As $x$ approaches $\infty$, $\frac{3}{x}$ approaches 0. $\lim\limits_{x \to \infty} (4+\frac{3}{x}) = \lim\limits_{x \to \infty} 4 + \lim\limits_{x \to \infty} \frac{3}{x} = 4 + 0 = 4$
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