# Argument Theorem - Complex Analysis

## Homework Statement

Evaluate (1/2ipi)* contour integral of [z^(n-1)] / [(3z^n) - 1 ] dz

## Homework Equations

I would assume you would have to use the Argument Theorem since this problem comes after the proof of the argument theorem in my book.

## The Attempt at a Solution

z^(n-1) has (n-1) zeros
(3z^n) - 1 has n zeros

therefore the integral is equal to (n-1)-n = -1

Is this correct?

Thanks