GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

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Question : 20 of 65

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Let f(x) be a real, periodic function satisfying f(-x) = -f(x). The general form of its Fourier series representation would be

$f (x) = a_{0} + ∑ ↙{k = 1}↖{∞}⁡a_{k}\cos ⁡ (kx)$
$f (x) = ∑ ↙{k = 1}↖{∞}⁡b_{k} sin \;⁡ (kx)$
$f (x) = a_{0} + ∑ ↙{k = 1}↖{∞}⁡a_{2k}\cos ⁡ (kx)$
$f (x) = ∑ ↙{k = 0}↖{∞}⁡a_{2k} + sin \;⁡ (2k + 1) x$

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