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Meaning of integral test

in'tegral test"

Pronunciation: [key]
— Math. Math.
  1. the theorem that a given infinite series converges if the function whose value at each integer is the corresponding term in the series is decreasing, tends to zero, and results in a finite number when integrated from one to infinity.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.