4. Find the power series representation of the form Σ=o arn where f(x) 7 2 + x f(x) = a) Σ n=0 7·χη 2n+1 work? Ο b) n=0 (-1)" 7.xn 2n+1 c) n=0 = α 1-r for the following function: (-1)" 7.xn 2n ΕΣ n=0 7.xm 2n n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 26RE
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Question
8
4 Find the power series representation of the form E-o ar where f(x) =
=0
7
f(x) =
2+x
a)
n=0
7.xn
2n+1
work?
b)
25
n=0
(-1) 7.xn
2n+1
c)
Σ
n=0
a
1-r
for the following function:
(-1)" 7.xn
2n
n=0
7.x"
2n
Transcribed Image Text:8 4 Find the power series representation of the form E-o ar where f(x) = =0 7 f(x) = 2+x a) n=0 7.xn 2n+1 work? b) 25 n=0 (-1) 7.xn 2n+1 c) Σ n=0 a 1-r for the following function: (-1)" 7.xn 2n n=0 7.x" 2n
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