Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x = 0.) 2x + 5 f(x) x* + 5x + 4 1 1 x+1 x +4 Find the interval of convergence. (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x = 0.)
2x + 5
f(x) =
x2 + 5x + 4
1
x +1
x +4
Find the interval of convergence. (Enter your answer using interval notation.)
(-1,1)
Transcribed Image Text:Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x = 0.) 2x + 5 f(x) = x2 + 5x + 4 1 x +1 x +4 Find the interval of convergence. (Enter your answer using interval notation.) (-1,1)
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