/*! 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. 11 In Problems 7鈥�16, use a table ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 11 (page 876)

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

11.limx鈫�4x2-4xx-4.

Short Answer

Expert verified

limx鈫�4x2-4xx-4=4.

Step by step solution

01

Step 1. Given information.

A limit function is given aslimx鈫�4x2-4xx-4.

02

Step 2. Form the table.

Choose values of x close to 4, arbitrarily starting with 3.99 then we select additional numbers that get closer to 4, but remain less than 4. Next choose values of x greater than 4, staring with 4.01, which get closer to 4.

Finally evaluate f(x)=x2-4xx-4at each choice to obtain the below Table:

Asx gets closer to 4 then f(x)gets closer to 4.

So,limx鈫�4x2-4xx-4=4.

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

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

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

limx鈫�-1f(x),f(x)=x3-1

The notation _____________ is used to describe the fact that as x gets closer to c, but remains greater than c, the value of fxgets closer to R.

True or False If f is continuous at c, thenlimx鈫�c+f(x)=f(c).

True or False The exponential function f(x)=ex is increasing on the interval (-鈭�,鈭�). (p. 280)
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Decision 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.