Professional paper

On harmonic series and it's parts

Dino Sejdinović ; University of Bristol, Bristol, UK
Irma Tanović ; Bristol, UK

Abstract

In the theory of series of real numbers, the harmonic series serves as one of the simplest and the most illustrative examples when studying the problem of the convergence of infinite series. Divergence of this series, despite the fact that its general term tends to zero, leads us to the question: "Which terms of the harmonic series should be removed such that the resulting series is convergent?''. We consider convergence of the generalized harmonic series, sum of the reciprocals of the primes, and the convergence of Kempner series.

Keywords

infinite series; harmonic series; convergence

Hrčak ID:

42992

URI

https://hrcak.srce.hr/42992

Publication date:

12.11.2009.

Article data in other languages: croatian

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