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arxiv: 1808.02841 · v1 · pith:LSFDL7SEnew · submitted 2018-07-31 · 🧮 math.HO

On divergent Series

classification 🧮 math.HO
keywords divergenteulerleonhardseriesdefinesdifferentdiscussesdivergentibus
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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 $0.59...$.

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