   Chapter 2.5, Problem 88E

Chapter
Section
Textbook Problem

In Exercises 85-97, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.If lim x → 3 − f ( x ) and lim x → 3 + f ( x ) both exist, then lim x → 3 f ( x ) exists.

To determine
Whether the statement is true or false with explanation.

Explanation

The given statement is,

If limx3f(x) and limx3+f(x) both exist,  then limx3f(x)

The function f has the right hand limit L as x approaches a from the right that is limxa+f(x)=L .

The function f has the left hand limit M as x approaches a from the left that is limxaf(x)=M .

If the value of limxaf(x) and limxa+f(x) is equal, then the function limxaf(x) 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

Evaluate the expression sin Exercises 116. 3(2)0

Finite Mathematics and Applied Calculus (MindTap Course List)

If F(x) = f(3f(4f(x))), where f(0) = 0 and f(0) = 2, find F(0).

Single Variable Calculus: Early Transcendentals, Volume I

Find the period of y=3cot(x4). 4 8 4

Trigonometry (MindTap Course List) 