the question is can you come up with a power series whose interval of convergance is the interval (0,1] that is 0 < x < = 1 ? how about (0,infinity)? Give an explicit series of explain why you can't.(adsbygoogle = window.adsbygoogle || []).push({});

The first part of this question where they ask if a series can have an interval of (0,1). I dont think such a series can exist becaue when x=0 doesnt the series always converge, there for the series would have to be eqal to 0. so it can have an interval of [0,1) but not (0,1). but that would also mean a series can't have an interval of (0,infinity).

i just wan to know if it i am going the right way in my thinking and if, not if some one could point me in the right direction.

thanks

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# Homework Help: Power series question

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