Definition:Taylor Series/Historical Note
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Historical Note on Taylor Series
The first proof for the convergence of a Taylor series was provided by Augustin Louis Cauchy.
He used the Cauchy Form of the remainder, showing that it converges to zero.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.26$: Cauchy ($\text {1789}$ – $\text {1857}$)