The Harmonic Series and the nth Term Test for Divergence

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dc.creatorBradley, David M.
dc.date2007-06-17
dc.date.accessioned2026-07-07T08:10:44Z
dc.date.available2026-07-07T08:10:44Z
dc.descriptionThe divergence of the harmonic series is proved by direct comparison with a series whose nth partial sum telescopes to the natural logarithm of n. The key idea is to apply the classical inequality x>=log(1+x) (valid for x>-1) with x=1/k and sum over k, 1<=k<=n-1.
dc.description1 page AMSLaTeX
dc.identifierhttps://arxiv.org/abs/0706.2513
dc.identifierhttp://arxiv.org/abs/0706.2513
dc.identifierThe American Mathematical Monthly, Vol. 107, No. 7, August-Septemeber 2000, p. 651
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131905
dc.subjectHistory and Overview
dc.subject40-01
dc.titleThe Harmonic Series and the nth Term Test for Divergence
dc.typetext

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