Question 3, plz

2. (30%) Consider the following function f(x) = x2, x E [0, "]. (2.1) (a) Derive its odd extension fodd(x), x E [-7, 7]. Sketch the picture of it. (b) Derive the Fourier series partial sum S2(x) for fodd (x), x E [-7, 7]. 3. (30%) Consider the function foda (x) obtained in Problem 2. (a) Derive the pointwise error function of the Fourier series partial sum S2(x) for approx- imation foda(x), x E [-7, 7]. You do not need to evaluate or graph. (b) State the definition of the uniform error of S2(x) for approximation fodd(T), I E [-7, 7]. You do not need to evaluate or graph. (c) Derive the L2 error formula of the Fourier series partial sum S2(x) for approximati fodd (x), x E [-7, 7]. You do not need to evaluate or graph