Find fF(x), the Fourier expansion of the function f(x) = -1 -1 Σ (1+(-1)"+1) cos(nr2) n=1 fF(x) = 6+ (1+ (-1)"+1) cos(nrx) n=1 ff(x) = 3+ (1 – (–1)") sin(nTx) %3D n=1 ff(x) = S (1 – (–1)") sin(nTE) n=1
Find fF(x), the Fourier expansion of the function f(x) = -1 -1 Σ (1+(-1)"+1) cos(nr2) n=1 fF(x) = 6+ (1+ (-1)"+1) cos(nrx) n=1 ff(x) = 3+ (1 – (–1)") sin(nTx) %3D n=1 ff(x) = S (1 – (–1)") sin(nTE) n=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find fF(x), the Fourier expansion of the function
f(x) =
-1
-1<x < 0,
||
0 <x < 1.
8
fF(x) = 3+
(-1)7+1
cos(nnx)
n=1
None of the options displayed.
8
fr(x) = Š (-1)n+1
sin(nrx)
n=1
6.
fr(x) = 3+>
Σ
(1+(-1)"+1) cos(nr2)
n=1
fF(x) = 6+
(1+ (-1)"+1) cos(nrx)
n=1
ff(x) = 3+
6
(1 – (–1)") sin(nTx)
n=1
ff(x) = S
(1 – (–1)") sin(nTE)
n=1
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