Let f(x) = x on [0, 3]. At x = 64, the Fourier sine series of f on [0, 3] converges to Select one: O a. 1 O b. - 1 O C. 4 O d. -4 O e. None of theseLet f(x) = x' on [0, 2]. The Fourier cosine series of f on [0, 2] is Select one: O a. the Fourier series of the even, 4-periodic extension of f to R. O b. the Fourier series of the even, 2-periodic extension of f to R. O c. the Fourier series of the odd, 4-periodic extension of f to R. O d. the Fourier series of the 2-periodic extension of f to R. O e. None of the above.\f\f