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2. Given the following periodic function f(x)=\left\{\begin{array}{lll}

4 & \text { if } \quad 0

2 & \text { if } \quad 1

0 & \text { if } \quad 3

& f(x+4)=f(x)

\end{array}\right. (a) Sketch the function and state if it is odd, even or neither. (b) Calculate the Fourier series for the function and write down the expansion up to the term n = 8.

Fig: 1

Fig: 2

Fig: 3

Fig: 4