Series (summation)/Infobox

Series

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

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