2nd Edition

ISBN: 9781323178522

Author: Briggs

Publisher: PEARSON

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Textbook Question

Chapter 9.2, Problem 31E

Combining power series Use the geometric series

f ( x ) = 1 1 − x = ∑ k = 0 ∞ x k , for | x | < 1 ,

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

31. h ( x ) = 2 x 3 1 − x

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Chapter 9.2, Problem 30E

Chapter 9.2, Problem 32E

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Combining power series Use the geometric series f ( x ) = 1 1 − x = ∑ k = 0 ∞ x k , for | x | < 1 , to find the power series representation for the following functions (centered at 0 ). Give the interval of convergence of the new series. 31. h ( x ) = 2 x 3 1 − x

Solution Summary: The author explains how to obtain the power series representation and interval of convergence by using the geometric series f(x)=11.

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Chapter 9 Solutions

Additional Engineering Textbook Solutions

Combining power series Use the geometric series f ( x ) = 1 1 − x = ∑ k = 0 ∞ x k , for | x | &lt; 1 , to find the power series representation for the following functions (centered at 0 ). Give the interval of convergence of the new series. 31. h ( x ) = 2 x 3 1 − x

Solution Summary: The author explains how to obtain the power series representation and interval of convergence by using the geometric series f(x)=11.

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Chapter 9 Solutions

Additional Engineering Textbook Solutions

Combining power series Use the geometric series f ( x ) = 1 1 − x = ∑ k = 0 ∞ x k , for | x | < 1 , to find the power series representation for the following functions (centered at 0 ). Give the interval of convergence of the new series. 31. h ( x ) = 2 x 3 1 − x