De seriebus divergentibus

Details De seriebus divergentibus De seriebus divergentibus

2012-02-07

arxiv.org/abs/1202.1506v1

Mathematics

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Scientific paper

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.

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