Extensão para o teste de Kummer e aplicações

In this work we present a detailed study of the Kummer Test, which presents necessary and sufficient conditions for the convergence or divergence of numerical series of positive terms. We present also a reinterpretation os this test which provides some applications, such as a theorem related to the...

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Autor principal: Carrijo, Wendell Palkovitz de Felice
Formato: Trabalho de Conclusão de Curso (Graduação)
Idioma: Português
Publicado em: Universidade Tecnológica Federal do Paraná 2020
Assuntos:
Acesso em linha: http://repositorio.utfpr.edu.br/jspui/handle/1/7350
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Resumo: In this work we present a detailed study of the Kummer Test, which presents necessary and sufficient conditions for the convergence or divergence of numerical series of positive terms. We present also a reinterpretation os this test which provides some applications, such as a theorem related to the Olivier Theorem and a theorem about the gaps between power of consecutive prime number.