All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Maybe? (Posted on 2012-01-15)
Is there a function F(x), such that for every x, larger than -1, the following is true:

F(x)=1+ F(x/(x+1)) ?

 No Solution Yet Submitted by Ady TZIDON Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Final answer (spoiler) | Comment 1 of 3
No, there is no such function.

Proof:
(a) Assume such a function exists.
(b) Let x = 0
(c) Then F(0) = 1+F(0), which is not true, not even if F(0) is undefined

 Posted by Steve Herman on 2012-01-15 20:06:11
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information