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.

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Etymology

Origin of infinite series

First recorded in 1790–1800

Example Sentences

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

From Textbooks • Mar. 30, 2016

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

From Textbooks • Mar. 30, 2016

Note that α has an infinite series of values that satisfies this condition.

From Textbooks • Mar. 30, 2016

Consequently, the infinite series diverges for r = 1.

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