A periodic function of period 2 is defined for 0 x 2 by Sketch f(x)

Question:

A periodic function of period 2π is defined for 0 ≤ x ≤ 2π by

f(x) = (0  x  ) ( < xn) - (

Sketch f(x) for –2π ≤ x ≤ 4π and show that its Fourier series representation is

(x) = (1 +  ) sin x -+-sin 2x sinx  + + (1 - 32/7) 3r sin 3xsin 4x + ...

Express this series in a general form.

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