/*! 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. 39 In Problem, graph each function.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 39 (page 876)

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

limx鈫�0f(x),f(x)=x13xif,x<0if,x=0if,x>0

Short Answer

Expert verified

The limit of the function (at x= 0) is = 0

Step by step solution

01

Step1. Given information 

The given function limx鈫�0f(x),f(x)=x13xif,x<0if,x=0if,x>0

02

Step2. Calculations of the value of the function at limit points 

To find the limit we have to draw the graph of its


We know that at the limit point as x-factor is near to limit points so that time y tends to a specific value, that specific value is the value of the function at the limit point

so according to the question, we can see in the pieces of both graphs when x is near 0, then y approach 0,

but atx=0,y=1

Thus the limit of the given function is evaluated by 0

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 43-52, find the limit as xapproaches cof the average rate of change of each function from cto x.

f(x)=1x2

In Problems 7鈥� 42, find each limit algebraically

limx鈫�1(-3)

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

Findlimx鈫�-4-f(x).

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

Findf(-8)andf(-4).

True or False The limit of a rational function at5 equals the value of the rational function at5
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

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.