A convergence-divergence test for series of nonnegative terms
type: Item
instance of: scholarly article
title: A convergence-divergence test for series of nonnegative terms
zbMATH Open document ID: 1236.40003
author: Enrico Laeng
author: Vittorino Pata
published in: Expositiones Mathematicae
publication date: 2011-12-28T00:00:00Z
review text: The authors present a new convergence-divergence test for series of nonnegative terms. The proof is elegant and short and the result can be used to decide about divergence or convergence for example for the apparently difficult series \(\sum_{n=1}^{\infty }n^{-2-\cos n}\) or \( \sum_{n=1}^{\infty }n^{-1}((2+\cos n)/3)^{n}\).
reviewed by: Edward Omey
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 11J82
zbMATH DE Number: 5992159
zbMATH Keywords: convergence tests for series
zbMATH Keywords: generalized Cauchy condensation
zbMATH Keywords: Liouville number
MaRDI profile type: Publication
full work available at URL: j.exmath.2011.07.004
OpenAlex ID: W1986691725
cites work: Q3856819
cites work: Q5824734
cites work: On the irrationality measure of $ \pi$
DOI: 10.1016/J.EXMATH.2011.07.004
description: scientific article; zbMATH DE number 5992159