MHB Can a Numerical Series Converge to a Functional Series?

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hi everyone ! i have a question ,

Can a numerical convergent series be a convergent functional series?

I know only the other way that a convergent functional series can be a convergent numerical series because i take a function as a constant so i have a numerical series and it converges.
 
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andijaupi said:
hi everyone ! i have a question ,

Can a numerical convergent series be a convergent functional series?

I know only the other way that a convergent functional series can be a convergent numerical series because i take a function as a constant so i have a numerical series and it converges.

Hi andijaupi, :)

Could you please tell me what you meant by a numerical series (is it something that has numerical values for each term? Example, $\sum_{i=0}^\infty 1/i^2$) and a functional series?
 

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