Mathematics · Fourier Series
Let f(x) be an odd function defined on [-π, π]. Its Fourier series expansion is given by f(x) = a02 + ∑n=1∞ [an cos(nx) + bn sin(nx)]. Which of the following statements is true regarding its Fourier coefficients?
- 1a0 = 0, an ≠ 0, bn ≠ 0
- 2a0 = 0, an = 0, bn ≠ 0✓
- 3a0 ≠ 0, an ≠ 0, bn = 0
- 4a0 ≠ 0, an = 0, bn ≠ 0
Correct answer
a0 = 0, an = 0, bn ≠ 0
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