   Chapter 2.3, Problem 46E ### 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, if it exists. If the limit does not exist, explain why. lim x → 0 + ( 1 x − 1 | x | )

To determine

To find: The limit of the function limx0+(1x1|x|).

Explanation

Definition used:

An absolute function |x| is defined as follows.

|x|={x if x<0x if x0

Theorem 1:

The limit limxaf(x)=L if and only if limxaf(x)=L=limxa+f(x).

Calculation:

Let f(x)=1x1|x|

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