Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.7 Limits at Infinity - Exercises - Page 83: 24


$\infty $

Work Step by Step

We have \begin{align*} \lim _{x \rightarrow \infty}\frac{\sqrt{x^3+20x}}{10x-2} &=\lim _{x \rightarrow \infty}\frac{x\sqrt{x+\frac{20}{x^2}}}{x(10-\frac{2}{x})}\\ &=\frac{\sqrt{\infty+0}}{10-0} \\ &=\infty \end{align*}
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