# Residue f'/f

## Homework Statement

Let f has a zero of multiplicity k at 0.

Find the residue of f'/f at 0

## The Attempt at a Solution

I'm kind of get stuck on this one. I got only this far: Since f has a zero of multiplicity k at 0, then f(z) = (z^k)g(z) :(

Thanks a lot for helping!

## Answers and Replies

matt grime
Science Advisor
Homework Helper
What is the definition of the residue at 0?

What is the definition of the residue at 0?
hmm, do you mean f is analytic at 0?

matt grime
Science Advisor
Homework Helper
You're attempting to find the residue at zero. It would seem like a good starting point to write down the definition(s) of the residue at zero - if you don't know what to find you will never find it.