Euler’s number

1683

Euler’s number

The book of science

Tom Sharp

Jacob Bernoulli, Leonhard Euler mathematics

Euler’s number

Transcendental constant

Approximation

lim n→∞ ( 1 + 1 n ) n = n = 0 1 n ! = e

Key to the mathematical symbols:

lim
The limit
n→∞
as n approaches infinity
(1 + 1/n)n
of 1 + the reciprocal of n to the power of n
=
equals
the sum
n = 0
as n goes from zero
to infinity
1/n!
of the reciprocal of n factorial, that is, the inverse of n(n - 1)(n - 2) . . . 1
=
equals
e
the irrational transcendental constant and base of the natural logarithms known as Euler’s number

See also in The book of science:

Readings in wikipedia:

Other readings: