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infinite series

American  

noun

Mathematics.
  1. a sequence of numbers in which an infinite number of terms are added successively in a given pattern; the sequence of partial sums of a given sequence.


Etymology

Origin of infinite series

First recorded in 1790–1800

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The sum of the infinite series is defined.

From Textbooks • Dec. 21, 2021

An infinite series can also be truncated, resulting in a finite polynomial that we can use to approximate functional values.

From Textbooks • Mar. 30, 2016

Each of the following infinite series converges to the given multiple of π or 1/π.

From Textbooks • Mar. 30, 2016

Consequently, the infinite series diverges for r = 1.

From Textbooks • Mar. 30, 2016

He demonstrated the exercises of the great acting teacher Stanislavsky, he imitated Charlie Chaplin’s funny walk, and when he was reading about calculus, he explained Zeno’s paradox and the infinite series.

From "Red Scarf Girl: A Memoir of the Cultural Revolution" by Ji-li Jiang

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