Copied Find the Laurent expansion of \[ f(z)=\frac {z}{(z+i)(z-2)} \] for \(1<\lvert z\rvert <2\). Classify the singularities of the function \[ f(z)=\frac {z+1}{z\sin (z)}. \] Raw LaTeX \begin{enumerate} \item[(a)] Find the Laurent expansion of \[ f(z)=\frac{z}{(z+i)(z-2)} \] for \(1<\lvert z\rvert<2\). \item[(b)] Classify the singularities of the function \[ f(z)=\frac{z+1}{z\sin(z)}. \] \end{enumerate} Topic Tags Isolated Singularities and Residues Laurent Series and Annuli Linear Programming and Optimization