Series (summation)/Infobox

Series

[math]\sum^\infty_{n\eq 1}x_n:\eq\lim_{n\rightarrow\infty} [/math][ilmath]\Big(\sum^n_{i\eq 1}x_i\Big)[/ilmath] [ilmath]\big((x_n)_{n\in\mathbb{N} },(S_n)_{n\in\mathbb{N} }\big)[/ilmath]

For a sequence [ilmath](x_n)_{n\in\mathbb{N} }\subseteq X[/ilmath] in a metric space [ilmath](X,d)[/ilmath] that is also a group [ilmath](X,+)[/ilmath]