   Chapter 2, Problem 22RQ ### 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

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f'(r) exists, then lim x → r f ( x ) = f ( r ) .

To determine

Whether the statement, “if f(r) exists, then limxrf(x)=f(r)” is true or false.

Explanation

Definition used:

A function f is continuous at a number a if and only if limxaf(x)=f(a).

Theorem used: If f is differentiable at a, then f is continuous at a.

Reason:

Given that f(r) exists

### 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

#### 6x2(3x2+2)+14(x+2)

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

#### Define sampling with replacement and explain why is it used?

Statistics for The Behavioral Sciences (MindTap Course List)

#### 14. What are the domain and range of the function ?

Mathematical Applications for the Management, Life, and Social Sciences

#### (f(x)g(x)) = f(x)g(x).

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

#### Explain the difference between passive and active deception.

Research Methods for the Behavioral Sciences (MindTap Course List) 