Find the Fourier series of f : [-7t, 7t] - IR such that f(x) = x2. Plot some representative partial sums of the Fourier series (i.e., plot the sum of the first n Fourier modes for several different values of n). Does this Fourier series converge to f on the interval (-7, It)? What about the interval [-7, 7]? What about on the whole real line? If the series does not converge to f, what function does it converge to