2. Given the following periodic function f(x)=\left\{\begin{array}{lll} 4 & \text { if } \quad 0<x \leq 1 \\ 2 & \text { if } \quad 1<x \leq 3 \\ 0 & \text { if } \quad 3<x \leq 4 \\ & 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.

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