Hi. Not really a homework question. Just a doubt i would like to confirm.(adsbygoogle = window.adsbygoogle || []).push({});

Is the radius of convergence of a power series always equal to the radius of convergence of it's primitive or when its differentiated?

I have done a few examples and have noticed this. I am trying to understand this graphically and what i have been able to interpret is that when a graph is differentiable at a certain interval (the radius of convergence), it's differential will also exist at that interval. Is this correct? or is there more to it?

Thanks in advance.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Radius of Convergence

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