De seriebus divergentibus
History and Overview
2012-02-08 v1
Abstract
Euler gives a long introduction, giving all the arguments for and against the use of divergent series in calculus and then gives his own definition of the sum of a diverging series. Then in the second half of this paper he evaluates the the 1-1+2-6+24-120+720-... on several ways and gets the sum 0.5963473621372. The paper is translated from Euler's Latin original into German.
Keywords
Cite
@article{arxiv.1202.1506,
title = {De seriebus divergentibus},
author = {Leonhard Euler and Artur Diener and Alexander Aycock},
journal= {arXiv preprint arXiv:1202.1506},
year = {2012}
}