Obviously Cauchy's convergence test is named after Augustin-Louis Cauchy. Is he the person who first proved this criterion or is it another misnamed theorem? If so: In which treatise?

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You can see :

Cauchy's textbook, was first published in 1821; the above is a translation of the second edition (appeared in 1897 into Cauchy’s Oeuvres complètes) of the Cours d’analyse.

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