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)) ?

(In reply to Nearly correct answer (spoiler) by Steve Herman)

I maintain that your 1st answer is the right one:  there is no such function,    and you've explained  it loud and clear. X=0 prevents stating : "for all x ... "etc.

 

Nevertheless nothing's wrong with your additinal observations about "almost every x .."  etc.

No regrets!!

Posted by Ady TZIDON on 2012-01-16 12:01:55