On divergent Series
Abstract
This is the translation of Leonhard Euler's paper "De Seriebus divergentibus" written in Latin into English. Leonhard Euler defines and discusses divergent series. He is especially interested in the example $1!-2!+3!-\text{etc.}$ and uses different methods to sum it. He finds a value of about $0.59...$.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2018
- DOI:
- 10.48550/arXiv.1808.02841
- arXiv:
- arXiv:1808.02841
- Bibcode:
- 2018arXiv180802841E
- Keywords:
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- Mathematics - History and Overview
- E-Print:
- Other translations can be found at the Euler Archive: http://eulerarchive.maa.org/ and the Euler-Kreis Mainz: https://www.agtz.mathematik.uni-mainz.de/algebraische-geometrie/van-straten/euler-kreis-mainz/ 34 pages