Let
f(x)=\begin{cases}0, & -L\lt a\lt 0, \\ L, & \lt x\lt L,\end{cases} (5)
and let f be defined outside this interval so that f(x + 2L) = f(x) for all x. We will temporarily leave open the definition of f at the points x = 0, ±L. Find the Fourier series for this function and determine where it converges.