Mathematics · Fourier Series
Find the Fourier series expansion for the function f(x) = x in the interval -π < x < π.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x = sin x - sin 2x + sin 3x - ...
- 2x = sin x + sin 2x + sin 3x + ...
- 3x = 2 [ sin x - 12 sin 2x + 13 sin 3x - ... ]✓
- 4x = 2 [ sin x + 12 sin 2x + 13 sin 3x + ... ]
Correct answer
x = 2 [ sin x - 12 sin 2x + 13 sin 3x - ... ]
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