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Maybe? (Posted on 2012-01-15) Difficulty: 3 of 5
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)

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Solution Final answer (spoiler) | Comment 1 of 3
No, there is no such function.

(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
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