Dictionary

infinite series en · NOUN

Meanings

1. Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers.
   • In 1734, Leonhard Euler solved the Basel problem by summing the infinite series #92;textstyle#92;frac#123;1#125;#123;1²#125;#43;#92;frac#123;1#125;#123;2²#125;#43;#92;frac#123;1#125;#123;3²#125;#43;#92;cdots#61;#92;sum#95;#123;n#61;1#125;#123;#92;infty#125;#92;frac#123;1#125;#123;n²#125;#61;#92;frac#123;#92;pi²#125;#123;6#125;.

Forms

Translations (15)

sv oändlig serie (infinite series) · sh beskonačni red (infinite series) · fr série infinie (infinite series) · ast serie infinita (infinite series) · es serie infinita (infinite series) · da uendelig række (infinite series) · hu végtelen sorozat (infinite series) · ca sèrie infinita (infinite series) · it serie infinita (infinite series) · ro serie infinită (infinite series) · ru бесконе́чный ряд (infinite series) · gl serie infinita (infinite series) · pt série infinita (infinite series) · tl awangganing dalayray (infinite series) · ja 無限級数 (infinite series)