ind the Fourier series expansion of the periodic function on the given interval. -1
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
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcca5e288-4d1f-4544-9bab-96a9ab35a088%2Faf593906-2260-4c9d-9afc-a4662d42219d%2Ftpdgav_processed.jpeg&w=3840&q=75)
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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