Exp[π] - π

  • #1
412
2

Main Question or Discussion Point

I read somewhere that [itex]e^\pi - \pi = 20[/itex].

1. Is it true?
2. I tried finding out.. but all i've reached till is:

[tex]
e^{\pi} = \cos{(i \pi)} - i \sin{(i \pi)}
[/tex]

what do i do from here on>
 

Answers and Replies

  • #2
CompuChip
Science Advisor
Homework Helper
4,302
47
Probably it was an engineer who told you :smile:
The difference with 20 is about 9.00021 x 10-4. So it's an approximate equality (which is, for a mathematician, of course not an equality).
 
  • #3
Gib Z
Homework Helper
3,346
5
It's a nice example of an "almost integer". Mathworld has a nice on them, its got many other expressions that are "almost integers" like yours.
 

Related Threads on Exp[π] - π

  • Last Post
Replies
20
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
2K
Replies
1
Views
626
  • Last Post
Replies
4
Views
562
Replies
5
Views
14K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
1
Views
1K
Top