Definition:Euler's Number/Historical Note
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Historical Note on Euler's Number
Euler's number was named $e$ by Euler himself.
He originally defined it as the limit of the sequence $\ds \lim_{n \mathop \to \infty} \paren {1 + \dfrac 1 n}^n$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2 \cdotp 718 \, 281 \, 828 \, 459 \, 045 \, 235 \, 360 \, 287 \, 471 \, 352 \, 662 \, 497 \, 757 \, 247 \, 093 \, 699 \ldots$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2 \cdotp 71828 \, 18284 \, 59045 \, 23536 \, 02874 \, 71352 \, 66249 \, 77572 \, 47093 \, 69995 \ldots$