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Definition 2024

infinite_series

infinite series

English

Noun

infinite series ‎(plural infinite series)

(analysis) A sum with a countably infinite number of ordered summands; the sum itself is formally defined as the limit of the partial sums, if it exists.
$\sum _{n=1}^{\infty }{\frac {1}{n^{2}}}={\frac {1}{1^{2}}}+{\frac {1}{2^{2}}}+{\frac {1}{3^{2}}}+\cdots ={\frac {\pi ^{2}}{6}}$

Translations

infinite series

Romanian: serii infinite
Russian: бесконе́чный ряд m ‎(beskonéčnyj rjad)

Serbo-Croatian: beskonačni red m
Tagalog: awangganing dalayray