   Chapter 2.5, Problem 6E

Chapter
Section
Textbook Problem

In Exercises 1-8, use the graph of f to find lim x → a − f ( x ) , lim x → a + f ( x ) , and lim x → a f ( x ) at the indicated value of a, if the limit exists.6. To determine

To find: The value of limxaf(x) , limxa+f(x) and limxaf(x) at the indicated value of a , if

the limit exists.

Explanation

Given:

Consider the graph as shown below.

Definition used:

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

If the right hand limit L equals the left hand limit M , then the limit of the function f exists else not.

Calculations:

Observe that the value of a is 0 since the function breaks at 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

Find more solutions based on key concepts 