Telegram group: T.me/BBCNOUN [MTH302] Find the constant \(a_{0}\) of the Fourier series fornfunction \(f(x)=x\cos x\) in \(-\pi\leq x\leq\pi\) \(0\) [MTH302] The series \(\sum_{n=0}^{\infty}A_{n}\left(x-x_{y}\right)^{n}\) converges if the radius is __________ less than 1 [MTH302] Find the singular point of \((-x)y''-6xy'-4y=0\) x = 0 [MTH302] Find\(b_{n}\) in the expansion of \(x^{2}\)nas a Fourier series in \(-\pi\leq x\leq\pi\). \(0\) [MTH302] If the recurrence relation is given by \(na_{n}=-3a_{n-1}\),nwhat is the expression for \(a_{4}\) \(a_{4}=\frac{-3}{4}a_{3}\) [MTH302] Determine the radius of convergence of the power series \(\sum_{n=0}^{\infty}2^nx^n\) \(1/2\) [MTH302] Find the constant \(a_{0}\) of the Fourier series fornfunction \(f(x)=x\) in \(0\leq x\leq2\pi\) \(2\pi\) [MTH302] The relation \(a_{n}=\frac{n+2}{n}a_{n-2}\) is calledna_____relation Recurrence [MTH302] which of the following functions is odd \(x^{2}\) [MTH302] Find the constant \left(a_{0}\right) of the Fourier series for function \left(f(x)=e^{x}\right) in \left(-\pi\leq x\leq\pi\right) \(\frac{2\sinh\pi}{\pi}\)