Mathematics · Fourier Series
Find the half-range sine series expansion for the function f(x) = x in the interval 0 < x < π.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x = 2 [sin x - 13 sin 3x + 15 sin 5x - ...]
- 2x = 2 [sin x - 12 sin 2x + 13 sin 3x - ...]✓
- 3x = 12 [sin x - 12 sin 2x + 13 sin 3x - ...]
- 4x = 12 [sin x - 13 sin 3x + 15 sin 5x - ...]
Correct answer
x = 2 [sin x - 12 sin 2x + 13 sin 3x - ...]
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