What is the value of e^\pi - \pi?

  • Context: Graduate 
  • Thread starter Thread starter rohanprabhu
  • Start date Start date
rohanprabhu
Messages
410
Reaction score
2
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>
 
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).
 
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.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K