   Chapter 2.3, Problem 45E ### 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 → ∞ ( 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|.

As x approaches 0 , f(x)=1x1(x) for x<0

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 516, evaluate the given quantity. log1/212

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 33-38, rewrite the expression using positive exponents only. 34. 3s1/3 s7/3

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### For f (x) = sinh x, f (x) = a) cosh2 x b) sinh2 x c) tanh x d) sinh x

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

#### True or False:

Study Guide for Stewart's Multivariable Calculus, 8th 