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\section{Lectures and Notes}  \subsection{week 8 notes review}  Taylors Theorem says if $f$ is analytic on $\{z:|z-z_0|$f(z)=\sum_{n=0}^{\infty}f^(n)(z_0)\frac{(z-z_0)^n}{n!}$ $f(z)=\sum_{n=0}^{\infty}f^{(n)}(z_0)\frac{(z-z_0)^n}{n!}$