Purchase Solution

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

Not what you're looking for?

Ask Custom Question

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.

Attachments
Purchase this Solution

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.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

a)
The Laurent expansion of is

The principal part of is . has ...

Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.