Can a Numerical Series Converge to a Functional Series?

[andijaupi]

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.

 

[Sudharaka]

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?