   Chapter 2.6, Problem 40E ### 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 or show that it does not exist. lim x → 0 + tan − 1 ( ln x )

To determine

To find: The value of limx0+tan1(lnx).

Explanation

Result used: limx(tan1(x))=π2

Calculation:

Obtain the value of the function as x approaches positive zero.

Consider the function f(x)=tan1(lnx).

Take the limit of f(x) as x approaches positive zero.

limx0+tan1(lnx)

Let t=lnx

Clearly, as t goes to large negative as x goes to infinity. That is, limx0+lnx=

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 