Exercise

Exercise 2.1.(b)

Problems under the interval (0, 27)

1. Find the F.S. for the function

2. Find the F.S. to represent the following functions

3. Find the F.S. of period 21 for the function f (x) = x (21 − x) in  (0, 2l). Deduce the sum of

4. Find the F.S of f (x) x² in (0, 2l). Hence deduce that

5. Find the F.S. expansion of f (x) = x (1-x) (2-x) in (0, 2). Deduce the sum of the series

6. Find the F.S. expansion of f (x) given by