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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

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The sum of the infinite series is defined.

From Textbooks • Dec. 21, 2021

Instead, the value of an infinite series is defined in terms of the limit of partial sums.

From Textbooks • Mar. 30, 2016

In this section we define an infinite series and show how series are related to sequences.

From Textbooks • Mar. 30, 2016

We can use infinite series to evaluate complicated functions, approximate definite integrals, and create new functions.

From Textbooks • Mar. 30, 2016

It’s like Achilles and the tortoise—an infinite series of steps, each getting smaller and smaller.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

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