I'm trying to find the residues of $\displaystyle f(z)=\frac{z+1}{z(z-2)}$ at 0 and 2. Can anyone give me a starting place to solve this?
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If $\displaystyle z_{0}$ is a first order pole of $\displaystyle f(z)$ then the residue in $\displaystyle z_{0}$ is... $\displaystyle \lim _{z \rightarrow z_{0}} f(z)\cdot (z-z_{0})$ (1) Kind regards $\displaystyle \chi$ $\displaystyle \sigma$
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