# Singularities of Analytic Functions

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Please see the attached file for the functions.

Question: For the following function, determine the nature of the singularities (removable, pole, or essential) and calculate the residues. For pole singularities, calculate the multiplicity as well.

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#### Solution Summary

For four given analytic functions, we determine all singularities, their types (removable, pole, or essential), residues, and multiplicities if they're a pole.

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