/*! 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. 9 If聽limx鈫抍f(x)聽=聽f(c),聽then... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 9 (page 889)

Iflimx鈫�cf(x)=f(c),thenfis______at__.

Short Answer

Expert verified

continuous, c

Step by step solution

01

Step. 1 Given 

It is given that, limx鈫�cf(x)=f(c).

02

Step. 2 Conclusion of f(x)

Since the limit limx鈫�cf(x)exist and is equal to f(c)then it means f(x)is continuous at x=c.

Therefore, in the blanks if limx鈫�cf(x)=f(c)then f is continuousat c.

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�16, use a table to find the indicated limit.

10.limx鈫�02-xx2+4.

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

limx鈫�1f(x),f(x)=3xifx鈮�0x+1ifx>0

For the functionf(x)={x2,ifx鈮�0x+1,if0<x<25-x,if2鈮�x鈮�5findf(0)andf(2)

True or False For any function f, and any real number c,limx鈫�c-f(x)=limx鈫�c+f(x).

In Problems 7鈥� 42, find each limit algebraically

limx鈫�2(3x+2)
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

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.