/*! 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. 26 Calculate the limits in Exercise... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Log out

Learning Materials

Features

Discover

Chapter 1: Q. 26 (page 135)

Calculate the limits in Exercises 25–28, using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.

limx→−1 x−1(x+4)(x+2)

Short Answer

Expert verified

limx→−1 x−1(x+4)(x+2)=23

Step by step solution

01

Step 1. Given information.

We have to calculate the limit of the given function.

Function is:

limx→−1 x−1(x+4)(x+2)

02

Step 2. Calculate the limit

The limit of the function can be calculated as:

limx→−1 x−1(x+4)(x+2)=limx→−1 (x−1)limx→−1 (x+4)(x+2)=limx→−1 (x−1)limx→−1 (x+4)limx→−1 (x+2)=(−1)−1(−1+4)(−1+2)=−1−13(1)=−23=23

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 91Ó°ÊÓ!

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

For each limit limx→cf(x)=Lin Exercises 43–54, use graphs and algebra to approximate the largest value of δsuch that if localid="1648023101818" x∈(c-δ,c)∪(c,c+δ)thenf(x)∈(L-ε,L+ε)

localid="1648023199049" role="math" limx→-1x2-2x-3x+1=-4,ε=1

For each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx→0x-3.

limx→02xex-1

For each limit statement , use algebra to find δ > 0 in terms of ε> 0 so that if 0 < |x − c| < δ, then | f(x) − L| < ε.

limx→0(5x2-1)=-1

Calculate each of the limits:

limh→0(-1+h)3-(-1)3h.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Applied 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.