Property of radius of convergence

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The discussion centers on the radius of convergence for the series ΣANZ^(N-1) and its primitive. It confirms that if the primitive of the series exists, both the original series and its primitive will share the same radius of convergence. Participants agree on this point, emphasizing the consistency in convergence properties. The conversation is concise, with a clear affirmation of the relationship between the series and its primitive. Understanding this concept is crucial for analyzing power series in mathematical contexts.
librastar
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I have a question regarding the radius of convergence and hopely someone can help me with it.

Suppose \SigmaNANZN-1 is given and if its primitive exists, will these two polynomials have the same radius of convergence?
 
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Yes.
 
LCKurtz said:
Yes.

Thank you very much.
 

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