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    Isolated Singluar Point: Pole, Removable Single Point and Essential Single Point

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    1. In each case, write the principal part of the function at its isolated singular point and determine whether that point it a pole, a removable single point, or an essential singular point
    {see attachment for expressions}

    Please specify the terms that you use if necessary and clearly explain each step of your solution.

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    The Laurent expansion of is

    The principal part of is . has ...

    Solution Summary

    Laurent expansions are used to examine isolated, removable and essential single points. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.