Absolute Convergence: Complex Homework Equations and Solutions

[Ted123]

Homework Statement

[PLAIN]http://img225.imageshack.us/img225/7501/complexh.jpg

Homework Equations

The Attempt at a Solution

How do I show this absolutely converges?

 

[lineintegral1]

What have you tried? It is difficult to help you without seeing what you have done.

What about the ratio test? After simplifying the limit in the ratio test, you'll find that the answer becomes evident. Let us know if you need more guidance than this.

When in doubt, try the ratio test! It's relatively straightforward compared to some of the other tests for convergence.