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arXiv · 1801.04963

Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit

Branko Malesevic·Yue Hu·Cristinel Mortici
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Abstract

In this paper, using the Maclaurin series of the functions $(1+x)^{1/x}$, some inequalities from papers Bicheng Debnath [1998] and Mortici Jang [2015] are generalized. For arbitrary Maclaurin series some general limits of Keller's type are defined and applying for generalization of some well known results.

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Branko Malesevic, Yue Hu, Cristinel Mortici. 2018-01-15. Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit. https://arxiv.org/abs/1801.04963

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