Consider the function f defined on the interval [-4, 4] as follows, - {% x, Denote by fr the Fourier series expansion of f on [-4,4], Find the coefficients ao, an. and b, with n > 1. I do = a₁ = b₁ = f(x) = fF(x)= 00 =+[a, cos(x) + b, sin("ZX )]. Σ an 2 n=1 M M x € [-4,0), x = [0, 4]. M

Find the Fourier series of the following functions (on [-π, π]). (1) sin²x. (2) r. Also sketch the curve of the Fourier series (on [-37, 3π]). Repeat the above problem on [-L, L].

ABC