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LaTex Error Help- Math Related
I'm having trouble formatting this
\begin{align*}
$$f_a = Res (F(z))_{z=0}
&= \Big(Res(F(z)_{z=0} +\sum_{\beta} \text{Res}(F(z)),z=\beta)\Big) - \Big(\sum_{\beta} \text{Res}(F(z)),z=\beta))
&= {2\pi i}\oint F(z)dz - \Big(\sum_{\beta} \text{Res}(F(z)),z=\beta)\Big)
&= - \Big(\sum_{\beta} \text{Res}(F(z)),z=\rho)\beta) $$
\end{align}%
The whole thing is simply staying in one line instead of breaking up into the proper formatting.