ratio test

Let (an) be a sequence of real numbers. Then the series


converges absolutely if

lim supn|an+1an|<1

and diverges if

lim infn|an+1an|>1.
Title ratio testMathworldPlanetmath
Canonical name RatioTest
Date of creation 2013-03-22 12:24:14
Last modified on 2013-03-22 12:24:14
Owner Koro (127)
Last modified by Koro (127)
Numerical id 12
Author Koro (127)
Entry type Theorem
Classification msc 26A06
Classification msc 40A05
Synonym quotient criterion