Math2.org Math Tables: e

(Math)
e = 2.7182818284 5904523536 0287471352 6624977572 4709369995 9574966967 6277240766 3035354759 4571382178 5251664274 ...

\[e = \lim<sub>n \to 0</sub>(1 + n)<sup>1/n</sup>\] or equivalently
\[e = \lim<sub>n \to \infty</sub>(1 + \frac{1}{n})^n\]

\[e = \sum<sub>n=0</sub><sup>\infty</sup> \frac{1}{k!}\]

see also Exponential Function Expansions.