Uma hierarquia de testes de convergência de séries baseada no teorema de Kummer - doi: 10.5269/bspm.v29i2.12851
DOI:
https://doi.org/10.5269/bspm.v29i2.12851Palabras clave:
séries numéricas positivas, testes de convergência e divergência, teste de Kummer.Resumen
In this study we use Kummer’s theorem on convergence of numerical positive series in order to construct a hierarchy of specific tests, starting from the well-known simple criteria with a less range of application, and reaching more sophisticated results with a wider abrangency. We construct various examples, which illustrate the use of such tests, and analyze situations when all the tests of the presented hierarchy are not conclusive with respect to behavior of a series.
Descargas
Número
Sección
Essays
Licencia
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
