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: Power Series Question

  1. Apr 22, 2013 #1
    1. The problem statement, all variables and given/known data
    Can anyone explain to me why the answer to this question is D?:

    http://puu.sh/2FoET.png [Broken]



    3. The attempt at a solution

    I'm not really sure where to begin, except I know that the series is centered at 0. I was also thinking that the given x's was the Interval of Convergence, but then, that wouldn't really make sense with the series centered at 0.
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Apr 22, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    What do you know about convergence of a power series centered at 0? I know that if it converges at x=a then it converges for |x|<|a|. I also know that if it diverges at x=a then it diverges for |x|>|a|.
     
    Last edited by a moderator: May 6, 2017
  4. Apr 23, 2013 #3
    Oh, I see now. I forgot about the absolute value. Thank you.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Loading...