×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9 - Problem 22re
Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9 - Problem 22re

Already have an account? Login here
×
Reset your password

Answer: Power series from the geometric series Use the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 22RE Chapter 9

Calculus: Early Transcendentals | 1st Edition

  • Textbook Solutions
  • 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 1 308 Reviews
18
2
Problem 22RE

Problem 22RE

Power series from the geometric series Use the geometric I series ,for |x|<1 to determine the Maclanrin series and the interval of convergence for the following functions.

Step-by-Step Solution:

Solution 22RE

Step 1:

In this problem we have to use the geometric series for |x|<1, to determine the Maclaurin series of and also we have to find the interval of convergence

We have

Using geometric series  for |x| < 1 we get,

Thus the Maclaurin series of is given by

Notice that we replaced both the x in the geometric series with to get the required Maclaurin series and so we will do the same in the interval of convergence.

 

Thus  provided

Thus the interval of convergence for the Maclaurin series is . That is  the interval of convergence is

Step 2 of 1

Chapter 9, Problem 22RE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Answer: Power series from the geometric series Use the