Exercise

Exercise 2.1.(a)

Problems under the interval (0, 2л)

1. Show that in the range 0 to 2л the Fourier series expansion for

2. Express f(x) = 1/ 12 (3x²-6xл+2л²) as a Fourier series of period 2л in the interval (0, 2л). Hence, show that

3. An alternating current after passing through a rectifier has the

4. Find the Fourier series of

5. Expand f (x) = as a(л-x)² as a Fourier series of period 2л in the 0 ≤x≤2л when a is a constant.

6. Express f(x) = (л. -x)2 as a F.S of period 2л in the interval 0 < x < 2л. Hence, deduce the sum of the series