Solved: Two methods Evaluate the following limits in two

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 72RE Chapter 4

Calculus: Early Transcendentals | 1st Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

4 5 0 425 Reviews
31
5
Problem 72RE

Two methods? Evaluate the following limits in two different ways: Use the methods 4 of Chapter 2and use l'Hôpital's Rule. lim 4x ??x x?? 2x + x?1

Step-by-Step Solution:

Solution Step 1 4x x In this problem we have to find the value of lim 2x + x1in two different ways. x The first method is to simplify the given problem and then apply the limit and the second method is to use l’hopital’s rule. l'Hôpital's Rule: Suppose that we have one of the following cases, lim f(x)= or lim f(x= ± xa g(x) 0 xa g(x) ± Where a can be any real number, infinity or negative infinity. f(x) f(x) In these cases we have lim g(x)= lim gx) xa xa Step 2 4 Let us find the value of lim 4x xusing first method. x 2x + x1 So let us simplify the expression. 4x x 4x x Consider lim 2x + x1 = lim 4 1 x x 2x + x We have x , then 1 1 = 0 x 1 Thus using x 0we get, 4 = lim 4x x 10 2x + x x 4x x = lim 4 x 2x = lim(2 x) x 2x4 x = 2 x 2x 1 1 1 We have x x = 0 then x4 0 Thus using 14 0we get, x x = 2 lim ( 4 10 2 x x4 = 2 0 = 2 Thus by using first method we get, 4x x lim 4 1 = 2 x 2x + x

Step 3 of 3

Chapter 4, Problem 72RE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Solved: Two methods Evaluate the following limits in two

×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4 - Problem 72re

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4 - Problem 72re
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here