Definition:Euler's Number/Base of Exponential
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Definition
There is a number $x \in \R$ such that:
- $\ds \lim_{h \mathop \to 0} \frac {x^h - 1} h = 1$
This number is called Euler's Number and is denoted $e$.
Decimal Expansion
The decimal expansion of Euler's number $e$ starts:
- $2 \cdotp 71828 \, 18284 \, 59045 \, 23536 \, 02874 \, 71352 \, 66249 \, 77572 \, 47093 \, 69995 \ldots$
Also see
Source of Name
This entry was named for Leonhard Paul Euler.