# Power Series Question

1. Apr 22, 2013

### izelkay

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. Apr 22, 2013

### Dick

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
3. Apr 23, 2013

### izelkay

Oh, I see now. I forgot about the absolute value. Thank you.