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# absolute convergence

## noun

,

*Mathematics.*- the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value converges. Compare conditional convergence.
- the property of a sequence of functions in which the series whose terms are the successive differences of the elements of the sequence exhibits absolute convergence.
- the property of an improper integral in which the integral formed by replacing the integrand by its absolute value converges.

absolute convergence

/ ăb**′**sə-lo̅o̅t′ /

- The mathematical property by which the sums of the absolute values of the terms in a series converge.

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## Word History and Origins

Origin of absolute convergence^{1}

First recorded in 1905–10

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## Compare Meanings

How does *absolute convergence* compare to similar and commonly confused words? Explore the most common comparisons:

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