Consider the Fourier sine series of each of the following functions. In this exercise do not compute the coefficients but use th
e general convergence theorems (Theorems 2, 3, and 4) to discuss the convergence of each of the series in the pointwise, uniform, and L2 senses.(a) f (x) = x3 on (0, l).(b) f (x) = lx − x2 on (0, l).(c) f (x) = x−2 on (0, l).
