# 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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a)

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.

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