Question: A periodic function f(t) of period 2 is defined within the period 0 t 2 by. Draw a graph of the function for

A periodic function f(t) of period 2π is defined within the period 0 ≤ t ≤ 2 by.

f(t) = -t/ t/ (0 t ) ( t 2)

Draw a graph of the function for –4π ≤ t ≤ 4π and obtain its Fourier series expansion. By replacing t by t – 1/2π in your answer, show that the periodic function

is represented by a sine series of odd harmonics.

f(t) = -t/ t/ (0 t ) ( t 2)

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