# E-number

From Encyclopedia of Mathematics

The limit of the expression as tends to infinity:

it is the base for the natural logarithm. is a transcendental number, which was proved by C. Hermite in 1873 for the first time. Sometimes 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.

**How to Cite This Entry:**

E-number.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=E-number&oldid=17180

This article was adapted from an original article by S.A. Stepanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article