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