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Combining power series Use the power series | Ch 9.2 - 32E

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

Solution for problem 32E Chapter 9.2

Calculus: Early Transcendentals | 1st Edition

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

Calculus: Early Transcendentals | 1st Edition

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Problem 32E

Combining power series Use the power series representation

to find the power series for the following functions (centered at 0). Give the interval of convergence of the new series.

f(−4x) = In (1 + 4x)

Step-by-Step Solution:

Solution 32E

Step 1:

In this problem we have to find   the power series of f(-4x) = ln(1+4x) (centered at ‘o’), and the interval of convergence of the new series.

Given  f(x) = ln(1-x) = - , for -1…………(1)

Step 2 of 7

Chapter 9.2, Problem 32E is Solved
Step 3 of 7

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Combining power series Use the power series | Ch 9.2 - 32E