Main post link -> http://blog.brilliant.org/2013/02/17/the-discovery-of-the-number-e/

When most of us are first taught about the number , we are told that it is an irrational, transcendental number that is about 2.7182. Most people simply learn to manipulate . High school classes rarely mention where comes from. It is usually introduced when learning about exponents and logarithms as a “special” base that you will use a lot down the road. Early in high school I remember asking a teacher what was. I received the usual circular answer, that is the base of the natural logarithm which in turn is the logarithm of an exponent raised to the base of . This answer did not satisfy me, but I was told that I had to wait for calculus to learn other ways of approaching it’s definition...

Read the rest over at the blog.

Feel free to share your thoughts!

No vote yet

4 votes

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestI tried and failed to share the blog in facebook. I guess the button right there at the right corner of the blog was for sharing on facebook!

Log in to reply

How would you show that \(e\) is irrational?

Note that this will heavily depend on your definition of \(e\).

Log in to reply

Its simple . We write e=1+1/1!+1/2!......... and will suppose that e is rational . then e will be of form p/q . and it will be easy contradiction then

Log in to reply