(a) Expand the periodic function $f(x) = x \cos x$ in $(-\pi, \pi)$ a…

Previous year question for Engineering Mathematics-II.

Question

(a) Expand the periodic function $f(x) = x \cos x$ in $(-\pi, \pi)$ as a Fourier series.

(b) Derive the complex form of Fourier series of a periodic function $f(x)$ in $(-l, l)$

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