Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.7 Exercises - Page 564: 34

Answer

$0$

Work Step by Step

$\lim _{x\rightarrow \infty }\dfrac {\ln x^{4}}{x^{3}}=\dfrac {\dfrac {d}{dx}\left( \ln x^{4}\right) }{\dfrac {d}{dx}\left( x^{3}\right) }=\dfrac {\dfrac {1}{x^{4}}\times 4x^{3}}{3x^{2}}=\dfrac {4}{3x^{3}}=0$
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