WOLFRAM|DEMONSTRATIONS PROJECT

Closed-Form Approximations of Euler's Number e

​
terms n
10
method
classical
comp. classical
comp. addition
mirror image
power ratio
amalgam
Brothers-Knox
There are many different closed-form expressions for Euler's number
e
. All are functions
f
such that
f(n)
approaches
e
as
n
approaches infinity. However, each expression exhibits a different rate of convergence. This Demonstration offers a visual representation of the behavior of these functions at smaller values of
n
.