Friday, January 19, 2018

There are two 28s in e as well..................at the beg of it.......


e (Euler's Number)

e (eulers number)
The number e is a famous irrational number, and is one of the most important numbers in mathematics.
The first few digits are:
2.7182818284590452353602874713527 (and more ...)
It is often called Euler's number after Leonhard Euler (pronounced "Oiler").
e is the base of the Natural Logarithms (invented by John Napier).
e is found in many interesting areas, so it is worth learning about.

Calculating

There are many ways of calculating the value of e, but none of them ever give a totally exact answer, because e is irrational (not the ratio of two integers).
But it is known to over 1 trillion digits of accuracy!
For example, the value of (1 + 1/n)n approaches e as n gets bigger and bigger:
graph of (1+1/n)^n
n(1 + 1/n)n
12.00000
22.25000
52.48832
102.59374
1002.70481
1,0002.71692
10,0002.71815
100,0002.71827

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