Which of the following is a power series representation of f(x) for all a E (-4, 4). 16 + x2 00 2n+1 f(x) = |3D n-0 16+1 00 22n+1 f(z) = (-1)" 16h+1 n-0 00 2n f(2) = 16h n-0 2n f(z) = 16 n=0 00 f(x) = (-1)". 22n+2 %3D n=0 16"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is a power series representation of f(x) =
for all æ E (-4, 4).
16+ x2
2n+1
f(x)3D
n-0 167+1
2n+1
f(x) = (-1)"
16h+1
n=D0
2n
f(x) = >
16"
2n
f(x) = D
16
n=0
00
r2n+2
f(z) = (-1)"
16"
n=D0
Transcribed Image Text:Which of the following is a power series representation of f(x) = for all æ E (-4, 4). 16+ x2 2n+1 f(x)3D n-0 167+1 2n+1 f(x) = (-1)" 16h+1 n=D0 2n f(x) = > 16" 2n f(x) = D 16 n=0 00 r2n+2 f(z) = (-1)" 16" n=D0
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