comparison test


The series

i=0ai

with real ai is absolutely convergent if there is a sequence (bn)n with positive real bn such that

i=0bi

is and for all sufficiently large k holds |ak|bk.

Also, the series ai is divergent if there is a sequence (bn) with positive real bn, so that bi is divergent and akbk for all sufficiently large k.

Title comparison testMathworldPlanetmath
Canonical name ComparisonTest
Date of creation 2013-03-22 13:21:48
Last modified on 2013-03-22 13:21:48
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 4
Author mathwizard (128)
Entry type Theorem
Classification msc 40A05