Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - Review - Exercises - Page 286: 7



Work Step by Step

Given $$\lim _{x \rightarrow \infty} \frac{3 x^{4}+x-5}{6 x^{4}-2 x^{2}+1} $$ Then \begin{align*} \lim _{x \rightarrow \infty} \frac{3 x^{4}+x-5}{6 x^{4}-2 x^{2}+1}&=\lim _{x \rightarrow \infty} \frac{3+\frac{1}{x^{3}}-\frac{5}{x^{4}}}{6-\frac{2}{x^{2}}+\frac{1}{x^{4}}}\\ &= \frac{3+0+0}{6-0+0}\\ &=\frac{1}{2} \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.