Fourier Example

Find the Fourier Series of the function:

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \f(x)=begin{cases} 0,-pi<x<0 \end{cases} \ \ \ \ n=0,1,2,3\dots}

Failed to parse (unknown function "\x"): {\displaystyle \rho_X(x) = \begin{cases}\frac{1}{2},& \x=0,\\ \frac{1}{2},& \x=1,\\ 0,& \text{otherwise} .\end{cases}}