When expanding an even function f(x) of period 2 into a Fourirs series, which of the following is correct? O(A)The constant term in the Fourier series is in the Fourier series is ƒ(x)dx O(B)an = 0 for n>0 O(C)b = 0 because f f(x) sin(nx)dx=0 O(D)an f(x)cos(nx) dx O(E)bn == f(x) sin(nx)dx
When expanding an even function f(x) of period 2 into a Fourirs series, which of the following is correct? O(A)The constant term in the Fourier series is in the Fourier series is ƒ(x)dx O(B)an = 0 for n>0 O(C)b = 0 because f f(x) sin(nx)dx=0 O(D)an f(x)cos(nx) dx O(E)bn == f(x) sin(nx)dx
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:Problem 2
When expanding an even function f(x) of period 2
into a Fourirs series, which of the following is correct?
O(A)The constant term in the Fourier series is
2T
O(B)an = 0 for n>0
O(C)bn = 0 because f f(x)sin(nx)dx = 0
1
f(x)cos(nx) dx
f(x) sin(nx) dx
O(D)an =
π
O(E)bn ==
π
f(x) dx
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