Find the Fourier coefficients of the function -1, if -T < x < 0 f(x) = 1, if 0 < x < ™ Hence, write down the first few terms of the Fourier series. Finally, show that 1 + 3 1 1 + 7 4

plz solve both subparts

3. Find the complex Fourier series of the function f(x) shown below. f(x)=x_ 0≤x≤27 and_ƒ(x+27)=f(x). Evaluate the coefficients up to +9. Write the function as a sum of the first +9 harmonic terms with the appropriate coefficients. n =

Expand f(x) = x^2 , 0 < x < pi in a cosine series, a sine series and a Fourier series. plot the extensions of this periodic function.