Consider the function \(f(x)= \begin{cases}0 & \text { if }-1 \leq x \leq 0, \\ 2 & \text { if } 0 \leq x \leq 1\end{cases}\)

Calculate the first two terms of the Fourier-Legendre series of \(f(x)\) over the interval \(-1 \leq x \leq 1\). What is the value of the complete Fourier-Legendre series of \(f(x)\) at \(x=0\) ?