(Solved): The plot above shows a square wave. It is a periodic function \( f(x)=f(x+L) ...

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The plot above shows a square wave. It is a periodic function \( f(x)=f(x+L) \), and can therefore be represented by a Fourier series of the form \[ f(x)=\frac{a_{0}}{2}+\sum_{n=1}^{\infty} a_{n} \cos \left(\frac{2 n \pi x}{L}\right)+\sum_{n=1}^{\infty} b_{n} \sin \left(\frac{2 n \pi x}{L}\right) \] (a) Is the function \( f(x) \) even, odd or neither? (b) Determine the Fourier coefficients \( a_{n} \) and \( b_{n} \). Use symmetry wherever possible to simplify your calculation.