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 - Preliminary Questions - Page 82: 2


(a) $\lim _{x \rightarrow \infty} x^3=\infty $. (b) $\lim _{x \rightarrow -\infty} x^3=-\infty $. (c) $\lim _{x \rightarrow -\infty} x^4=\infty $.

Work Step by Step

(a) Since $3\gt 0$, then we have $\lim _{x \rightarrow \infty} x^3=\infty $. (b) Since $3\gt 0$ and odd, then we have $\lim _{x \rightarrow -\infty} x^3=-\infty $. (c) Since $4\gt 0$ and even, then we have $\lim _{x \rightarrow -\infty} x^4=\infty $.
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