Civil Engineering > GATE 2026 SET-2 > Fourier Series
Periodic function f(x) is given below.
f(x) = { −1, when −π < x < 0; 1, when 0 < x < π }; f(x+2π) = f(x)
The CORRECT option representing the Fourier series expansion of f(x) is:
A
f(x) = (4/π)[sin x + sin3x/3 + sin5x/5 + ⋯]
B
f(x) = −(4/π)[sin x + sin3x/3 + sin5x/5 + ⋯]
C
f(x) = 1 + (4/π)[sin x + sin3x/3 + sin5x/5 + ⋯]
D
f(x) = 1 − (4/π)[sin x + sin3x/3 + sin5x/5 + ⋯]

Correct : a

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