Notes on a General Sequence

Let {rn}n∈𝕅 be a strictly increasing sequence of nonnegative real numbers satisfying the asymptotic formula rn ~ αβn, where α, β are real numbers with α > 0 and β > 1. In this note we prove some limits that connect this sequence to the number e. We also establish some asymptotic formulae and l...

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Bibliographic Details
Main Authors: Farhadian Reza, Jakimczuk Rafael
Format: Article
Language:English
Published: Sciendo 2020-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:http://www.degruyter.com/view/j/amsil.2020.34.issue-2/amsil-2020-0006/amsil-2020-0006.xml?format=INT