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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2020-09-01
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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 |