/*! 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. 47 In Problems 45-60, determine whe... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 47 (page 889)

In Problems 45-60, determine whether fis continuous at c.

f(x)=x2+5x-6c=3

Short Answer

Expert verified

The function is continuous atc

Step by step solution

01

Given information

Given function

f(x)=x2+5x-6c=3

02

Check whether the function is defined at c

Checking, we get

f(3)=32+53-6f(3)=14-3f(3)=-143

So it is defined atc

03

Check the left hand limits and right hand limits

Checking, we get

limx鈫�3-f(x)=limx鈫�3-32+53-6limx鈫�3-f(x)=limx鈫�3-32+53-6limx鈫�3-f(x)=-143

Again,

limx鈫�3+f(x)=limx鈫�3+32+53-6limx鈫�3+f(x)=-143

Sincelimx鈫�cf(x)=f(c)so it is continuous atc

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

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

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

limx鈫�23x+4x2+x.

In Problems 7鈥�16, use a table to find the indicated limit.

15.limx鈫�0cosx-1x,xin radians.

limx鈫�cb=_____.

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

limx鈫�2x2-4x2-2x.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

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.