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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

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    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.
     
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