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Use a partial fraction decomposition to represent the function f(x) rational functions.

Use a partial fraction decomposition to represent the function f(x) rational functions.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Represent function as a Power Series. 1 Use a partial fraction decomposition to represent the function f(x) as a sum of two (4- x)(9-x) rational functions. 1 A B f(x) = = 00 (4- x)(9-x) 4- x 9 I (Note: The order of the two rational functions should match what is given above.) Use two Geometric series to represent each fraction in the decomposition as a power series with center 1 at x = 0, then give the sum representing the function f(x) = as a Power Series with (4- x)(9-x) center at x = 0. 1 f(x) = = (4- x)(9-x) 72=0 The interval of convergence is +
Transcribed Image Text:Represent function as a Power Series. 1 Use a partial fraction decomposition to represent the function f(x) as a sum of two (4- x)(9-x) rational functions. 1 A B f(x) = = 00 (4- x)(9-x) 4- x 9 I (Note: The order of the two rational functions should match what is given above.) Use two Geometric series to represent each fraction in the decomposition as a power series with center 1 at x = 0, then give the sum representing the function f(x) = as a Power Series with (4- x)(9-x) center at x = 0. 1 f(x) = = (4- x)(9-x) 72=0 The interval of convergence is +
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