Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.3 Limits At Infinity; End Behavior Of A Function - Exercises Set 1.3 - Page 79: 10



Work Step by Step

Given $$\lim _{x \rightarrow+\infty}\left(2x^{3}-100x+5\right)$$ Then \begin{align*} \lim _{x \rightarrow+\infty}\left(2x^{3}-100x+5\right)&=\lim _{x \rightarrow+\infty}x^3\left(2-\frac{100x}{x^{3}}+ \frac{5 }{x^{3}} \right)\\ &=\infty \end{align*}
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