E-number

The limit of the expression $(1+1/n)^n$ as $n$ tends to infinity:

$$e=\lim_{n\to\infty}\left(1+\frac1n\right)^n=2.718281828459045\ldots;$$

it is the base for the natural logarithm. $e$ is a transcendental number, which was proved by C. Hermite in 1873 for the first time. Sometimes $e$ is called the Napier number for no very good reason.

Comments

See also Exponential function; Exponential function, real; Logarithm of a number; Logarithmic function; Transcendental number.