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 82: 15

Answer

$$\infty $$

Work Step by Step

\begin{align*} \lim _{x \rightarrow -\infty}\frac{3x^3-10}{ x+4}&= \lim _{x \rightarrow -\infty}\frac{x^3}{x}\frac{3-10x^{-3}}{ 1+4x^{-1}}\\ &=\lim _{x \rightarrow -\infty}\frac{x^3}{x}\lim _{x \rightarrow -\infty}\frac{3-10x^{-3}}{ 1+4x^{-1}}\\ &=3\lim _{x \rightarrow -\infty} x^2 \\ &=\infty.\\ \end{align*}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.