×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide

Any methoda. Use any analytical method to find | Ch 9.3 - 59E

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

Solution for problem 59E Chapter 9.3

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 1 301 Reviews
15
2
Problem 59E

Any method

a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at0 for the following functions. In most cases you do not need to use the definition of the Taylor series coefficients.

b. If possible, determine the radius of convergence of the series.

Step-by-Step Solution:

Solution 59E

 Step 1:

a)    In this problem we need to find the first four nonzero terms  of the taylor series centered at ‘0’ for the function f(x) =  by using the taylor series :

We know that ,  , for -1 < x < 1

Consider , = , since

        =

By , using for -1 < x< 1 ,we get

    = 1 -2()+3, for  -1 < < 1

        = 1 -2+3,for  -1 < < 1

Therefore , the first four nonzero terms of the taylor series centered at ‘0’ for the function   are 1 -2+3 .

That is ,  1, - 2 , 3 ,.

First term = 1

Second term = - 2 

Third term = 3

Fourth term =

Step 2:

Power series using the summation notation of the function f(x) =  =  , centered at a = 0 is;

       f(x) =  =  1 -2+3   

Therefore ,

Power series using the summation notation is ;  ,for  -1 < < 1

Step 3 of 3

Chapter 9.3, Problem 59E 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:

Any methoda. Use any analytical method to find | Ch 9.3 - 59E

×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide
×
Reset your password