(a) Expand the function $f(x) = c - x$ in $(0, c)$ as a Fourier Cosin…
Previous year question for Engineering Mathematics-II.
Question
(a) Expand the function $f(x) = c - x$ in $(0, c)$ as a Fourier Cosine series.
(b) Using Parseval's identity for Fourier sine series of $f(x) = x(\pi - x)$ in $(0, \pi)$, show that $\sum_{n=1}^{\infty} \frac{1}{(2n-1)^6} = \frac{\pi^6}{960}$
- Year: 2022
- Subject: Engineering Mathematics-II