f(t) = |t|, - T

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 of periodic function.

Find the Fourier series expansion of the periodic function on the given interval.
f(t) = |t|,
- T<t<TT
%3D
-
A. f(t) = "+20(-1)-1
%3D
Ln=1
TT
COS пnt
n2
B. f(t) =
1-(-1)"
%3D
Cos nnt
n2
TT
%3D
2
(-1)"-1
C. f(t) = -+=En=1
n2
cos nt
5o 1-(-1)n
n2
D. f(t) =D + -Σn=1
TT
%3D
cos nt
E. None of these.
Transcribed Image Text:Find the Fourier series expansion of the periodic function on the given interval. f(t) = |t|, - T<t<TT %3D - A. f(t) = "+20(-1)-1 %3D Ln=1 TT COS пnt n2 B. f(t) = 1-(-1)" %3D Cos nnt n2 TT %3D 2 (-1)"-1 C. f(t) = -+=En=1 n2 cos nt 5o 1-(-1)n n2 D. f(t) =D + -Σn=1 TT %3D cos nt E. None of these.
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