ich of the following is a power series representation of f(x) = f(x) = Σ(-1)" – n=0 x2n+1 f(x) = Σ(-1)" 16+1 n=0 o x2n+1 16+1 f(x) = Σ n=0 8 f(x) = Σ n=0 2η x²n+2 16η x 16η 00 22η f(x) = 16 n=0 X 16+x2' for all € (-4,4

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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Find the power series representation for the function
ich of the following is a power series representation of f(x) =
8
f(x) = Σ(-1)"
n=0
f(x) = Σ(-1)" .
=
n=0
f(x) = Σ
n=0
o w2n+1
16+1
∞
f(x) = Σ
Σ
n=0
x²n+2
16
2η
16η
x²n+1
00χ2η
f(x) = Σ 16
n=0
16+1
X
16+x²
for all a € (-4, 4).
Transcribed Image Text:ich of the following is a power series representation of f(x) = 8 f(x) = Σ(-1)" n=0 f(x) = Σ(-1)" . = n=0 f(x) = Σ n=0 o w2n+1 16+1 ∞ f(x) = Σ Σ n=0 x²n+2 16 2η 16η x²n+1 00χ2η f(x) = Σ 16 n=0 16+1 X 16+x² for all a € (-4, 4).
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