• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 54

Found in: Page 98


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

Answers without the blur.

Just sign up for free and you're in.


Short Answer

For each limit limxcf(x)=Lin Exercises 43–54, use graphs and algebra to approximate the largest value of δ such that if x(c-δ,c)(c,c+δ) then f(x)(L-ε,L+ε)


The required value of δ=0.1

See the step by step solution

Step by Step Solution

Step 1. Given Information 

The given expression is limx-1x2-2x-3x+1=-4,ε=0.1

Step 2. Explanation 

From the given expression, we have, c=-1,L=-4

The limit expression can be written as a formal statement as below,

For all epsilon positive, there exists a delta positive such that if x(-1-δ,-1)(-1,-1+δ) Then x2-2x-3x+1(-4-ε,-4+ε)

Now, the largest value of delta is given by,




Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.