Answer
$0$
Work Step by Step
$\lim _{x\rightarrow \infty }\dfrac {\ln x}{x^{2}}=\dfrac {\dfrac {d}{dx}\left( \ln x\right) }{\dfrac {d}{dx}\left( x^{2}\right) }=\dfrac {\dfrac {1}{x}}{2x}=\dfrac {1}{2x^{2}}=0$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
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: 33
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