# Homework Help: Complex Analysis: Special Power Series

1. Feb 24, 2015

### nateHI

1. The problem statement, all variables and given/known data
Give an example of a power series with [itex]R=1[\itex] that converges uniformly for [itex]|z|\le 1[\itex], but such that its derived series converges nowhere for [itex]|z=1|[\itex].

2. Relevant equations
R is the radius of convergence and the derived series is the term by term derivative.

3. The attempt at a solution
I've tried a bunch of stuff but at the moment I'm leaning towards some variation of the power series for the sin function.
It would be nice if there was a way to solve this without guessing and checking a bunch of times.

2. Feb 24, 2015

### nateHI

It's OK to delete this. Posted it on accident.

Last edited: Feb 25, 2015
3. Feb 24, 2015

### nateHI

Sorry, I'm not sure why my latex commands aren't taking.

4. Feb 25, 2015

### BvU

You want a forward slash to terminate, not a backslash.