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Answer: Exponential function In Section 9.3, we show that

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

Solution for problem 61E 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 61E

Exponential function In Section 9.3, we show that the power series for the exponential function centered at 0 is Use the methods of this section to find the power series for the following functions. Give the interval of convergence for the resulting series.f(x) = e?3x

Step-by-Step Solution:

Solution 61EStep 1:We are given that for We have to find the power series for To find this it is enough to substitute -3x in place of x in the above expression.Therefore The radius of convergence in the resulting series is Therefore the interval of convergence is

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Chapter 9.2, Problem 61E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Answer: Exponential function In Section 9.3, we show that