Answer
$0$
Work Step by Step
$\lim _{x\rightarrow \infty }\dfrac {\ln x^{4}}{x^{3}}=\dfrac {\dfrac {d}{dx}\left( \ln x^{4}\right) }{\dfrac {d}{dx}\left( x^{3}\right) }=\dfrac {\dfrac {1}{x^{4}}\times 4x^{3}}{3x^{2}}=\dfrac {4}{3x^{3}}=0$
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.