Meanings
- mathematical analysisAny expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers.
1 more example
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;.
Translations
Catalan sèrie infinita
- sèrie infinitainfinite series
Danish uendelig række
- uendelig rækkeinfinite series
French série infinie
- série infinieinfinite series
Hungarian végtelen sorozat
- végtelen sorozatinfinite series
Italian serie infinita
- serie infinitainfinite series
Japanese 無限級数
- 無限級数 (mugenkyūsū)infinite series
Portuguese série infinita
- série infinitainfinite series
Romanian serie infinită
- serie infinităinfinite series
Russian бесконе́чный ряд
- бесконе́чный ряд (beskonéčnyj rjad)infinite series
Spanish serie infinita
- serie infinitainfinite series
Swedish oändlig serie
- oändlig serieinfinite series
Tagalog awangganing dalayray
- awangganing dalayrayinfinite series
Cite this entry
infinite series. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/infinite%20series
“infinite series.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/infinite%20series. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “infinite series,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/infinite%20series.
Source: infinite series on Wiktionary, CC BY-SA 4.0.