ind the Fourier series expansion of the periodic function on the given interval. -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Fourier series expansion

Find the Fourier series expansion of the periodic function on the given interval.
-1<t<0
f(t) = {
%3D
0 st<1
A. f(t) =+ E=1
[(-1)"-1
cos Nnt
sin nat
-
m%3D1
nn
[(-1)"-1
3
B. f(t) =+En=1
100
1
cos nnt
sin nnt
c. f(t) =+En=1
[(-1)"-1
n2n2
cos nnt +
sin nnt
%3D
[(-1)"-1
f(t) =+E
3
00
Ln=1
cos nint +
1
sin nnt
D.
%3D
E. None of these.
Transcribed Image Text:Find the Fourier series expansion of the periodic function on the given interval. -1<t<0 f(t) = { %3D 0 st<1 A. f(t) =+ E=1 [(-1)"-1 cos Nnt sin nat - m%3D1 nn [(-1)"-1 3 B. f(t) =+En=1 100 1 cos nnt sin nnt c. f(t) =+En=1 [(-1)"-1 n2n2 cos nnt + sin nnt %3D [(-1)"-1 f(t) =+E 3 00 Ln=1 cos nint + 1 sin nnt D. %3D E. None of these.
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