Lobachevskii criterion (for convergence)
From Encyclopedia of Mathematics
A series with positive terms
tending monotonically to zero converges or diverges according as the series
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converges or diverges, where is the largest of the indices of the terms
that satisfy the inequality
,
.
It was proposed by N.I. Lobachevskii in 1834–1836.
How to Cite This Entry:
Lobachevskii criterion (for convergence). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lobachevskii_criterion_(for_convergence)&oldid=17486
Lobachevskii criterion (for convergence). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lobachevskii_criterion_(for_convergence)&oldid=17486
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article