   Chapter 4.4, Problem 22E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. lim x → ∞ ln x x 2

To determine

To evaluate: The value of limxlnxx2 .

Explanation

Obtain the value of the function as x approaches .

As x approaches , the numerator lnx approaches to and denominator x2 also approaches to .

Thus, limxlnxx2= is in an indeterminate form.

Therefore, apply L’Hospital’s Rule and obtain the limit as shown below

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