Infinite expression

In mathematics, an infinite expression is an infinite series, such as

$\sum _{n=0}^{\infty }a_{n}=a_{0}+a_{1}+a_{2}+\ldots \,,$

or an infinite product, such as

$\prod _{n=0}^{\infty }b_{n}=b_{0}\times b_{1}\times b_{2}\times \ldots \,,$

or an infinite continued fraction, such as

$[c_{0};c_{1},c_{2},c_{3},c_{4},\ldots ]=c_{0}+{\cfrac {1}{c_{1}+{\cfrac {1}{c_{2}+{\cfrac {1}{c_{3}+{\cfrac {1}{c_{4}+\ddots }}}}}}}}\,.$