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    Singularities and Poles

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    The function f(z) = zsin(pi/z)/[(z-1)(z-2)^2] has isolated singularities only. Determine the singularities of f(z) and classify each of them as removable, a pole, or an essential singularity. If z0 is a removable singularity, find the value f(zo) that makes f(z) analytic at z0. If z0 is a pole. find the singular part of f(z) at z0

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    https://brainmass.com/math/functional-analysis/singularities-poles-120269

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    Singularities and poles are investigated.

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