English

On divergent Series

History and Overview 2018-08-09 v1

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!etc.1!-2!+3!-\text{etc.} and uses different methods to sum it. He finds a value of about 0.59...0.59....

Cite

@article{arxiv.1808.02841,
  title  = {On divergent Series},
  author = {Leonhard Euler and Alexander Aycock},
  journal= {arXiv preprint arXiv:1808.02841},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-23T03:28:03.003Z