1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Complex Analysis: Special Power Series

  1. Feb 24, 2015 #1
    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. jcsd
  3. Feb 24, 2015 #2
    It's OK to delete this. Posted it on accident.
    Last edited: Feb 25, 2015
  4. Feb 24, 2015 #3
    Sorry, I'm not sure why my latex commands aren't taking.
  5. Feb 25, 2015 #4


    User Avatar
    Science Advisor
    Homework Helper
    2017 Award

    You want a forward slash to terminate, not a backslash.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted