The Function $f ( x ) = \left\{ \begin{array} { l l } 0 & \text { if } x < 0 \\1 & \text { if } x > 0\end{array} \right\}$

Multiple Choice

The function $f ( x ) = \left\{ \begin{array} { l l } 0 & \text { if } x < 0 \\1 & \text { if } x > 0\end{array} \right\}$ has a Fourier series on $[ - 2,2 ]$ that converges at $x = 0$ to

A) 0
B) 1
C) 1/2
D) $- 1$
E) unknown