|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
|
|
|
| ``Re: how do we know that e is not a natural number?''
by stevecheng on 2006-02-14 09:16:44 |
|
| The 'previous display' refers to the inequality which shows
\sum_{k=b+1}^\infty b!/k! STRICTLY LESS than the geometric series
which is = 1/b.
So it is not needed to know 1/b < 1
to get strict inequality (tail) < 1.
// Steve |
| | [ reply | up | top ] |
|
|
|
|
|
|
