Consider the Fourier sine series of each of the following functions. In this exercise do not compute the coefficients but use the 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).