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Finding Laurent Series About an Arbitrary Point

To find the Laurent series for a functionabout a pointwe must expand the function about that point. Ifincludes a factorso thatwe can take out that factor and expandaboutThe method is especially easy if

Example: Expandin a Laurent series about

To findabout any other point, writein terms of its partial fractions.

After some algebra

To expand about z=2, write