Definition:Limit/Historical Note

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Historical Note on Limit

It should be noted that neither Newton nor Leibniz had a clear understanding of the concept of a limit, despite their work on inventing the Calculus.

That understanding came later; the modern concept of a limit was pioneered by the work of Carl Friedrich Gauss and Niels Henrik Abel‎.

However, it was not until Augustin Louis Cauchy, in $1821$, that the limit was given a rigorous definition.