carpathian_2024_40_1_37_45_001

A Family of Sequences which Converge to the Euler-Mascheroni Constant


Harris, Ian R.


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carpathian_2024_40_1_37_45

This article considers the Euler-Mascheroni constant (\gamma) as the limit of a continuous function. Graphs of the function shed light on some familiar approximations to \gamma, and lead to a family of sequences which converge to \gamma. It is shown that this family is an extension of convergent sequences suggested by Mortici.

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Author(s)

Harris, Ian R.

DOI

https://doi.org/10.37193/CJM.2024.01.04