# 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 Abelâ€Ž.

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

## Sources

- 1964: William K. Smith:
*Limits and Continuity*... (previous) ... (next): $\S 1$: Introduction - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.26$: Cauchy ($\text {1789}$ – $\text {1857}$)