Exercise

EXERCISE 2.2.(b)

Problems under the interval (-l, l)

1. Obtain the F.S. for f (x) defined in (-1, 1) by

2. Find the F.S. for the function

3. f(x) is defined in (-2, 2) as follows. Express f (x) in a F.S. of periodicity

5. Find F.S. of periodicity 2 for

6.  Expand f (x) =x-x as a F.S. in -1 <x< 1.

7. Obtain the F.S. to represent x2 from x = -1 to x = 1

8. Find the F.S. of period 2 for the function

11. Obtain the Fourier series of period 21 for the function

12. Find the Fourier Series of the following function

13. Find the Fourier series expansion of f (x) in (-2, 2) which is defined as follows.