integral test

integral test

[′int·ə·grəl ‚test]
(mathematics)
If ƒ(x) is a function that is positive and decreasing for positive x, then the infinite series with n th term ƒ(n) and the integral of ƒ(x) from 1 to ∞ are either both convergent (finite) or both infinite.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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