Series (summation)/Infobox

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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]
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