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

.