Evaluate the coefficients

Question

Assignment:

              {0 , -3 < x < -2

              +1 -2 < x < -1

Let f (x)= 0 , -1 < x < 1

              +1 , 1 < x < 2

               0 , 2 < re < 3}

Be a periodic function with period p = 2L = 6.

(a) Sketch f (x) over -3 < x < 3.

(b) Is 1 (x) odd, even, or neither?

(c) Solve for the Fourier series coefficients, aa, an, and bn.

(d) Evaluate the coefficients up to the n = 3 terms, then write out the Fourier series up to the 71 = 3 terms.