/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 25 Does limx鈫�0f(x)聽exist? If it ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 25 (page 906)

Does limx鈫�0f(x)exist? If it does, what is it?

Short Answer

Expert verified

The limitlimx鈫�0f(x)does not exist.

Step by step solution

01

Step 1. Graph the function f(x)

We have been givenlimx鈫�0f(x).

Now let us graph the function with the help of a graphing utility.

02

Step 2. Determine if the limit exists. 

For the limit at 0to exist, thenlimx鈫�0-f(x)=limx鈫�0+f(x).

Let us consider the behavior of f(x)nearx=0.

When we consider the limit coming from the left side, orlimx鈫�0-f(x), the function approaches a value of 4.

That islimx鈫�0-f(x)=4

When we consider the limit coming from the right side, orlimx鈫�0+f(x), the function approaches a value of 1.

That islocalid="1647086140473" limx鈫�0+f(x)=1

Sincelimx鈫�0-f(x)鈮�limx鈫�0+f(x), the limitlimx鈫�0f(x)does not exist.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 7鈥� 42, find each limit algebraically.

limx鈫�2x2-4x2-2x.

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�蟺f(x),f(x)=cosx

Use the graph shown to determine if the limit exists. If it does, find its value.

In Problems 13鈥�32, use the accompanying graph of y=f(x).

What is the domain of f?

In Problems 7鈥� 42, find each limit algebraically

limx鈫�4x
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.