I'm not sure what the problem really is. If this converges it is to one of
3, 5 or 100. Purely experiment says 3 and 5 are unstable in convergamce. I
kind'a doubt that carrying more significant figures will fix that, but I'm
lazy enough not to do the epsilon/delta paper work. While not impossible
it seems unlikely that more digits will change anything.
On the other hand re-structuring the function might change the convergance
value, while not really changing f
On Fri, 8 Dec 2006, John Randall wrote:
R.E. Boss wrote:
You do not mean g(n+1)=f(g(n),g(n-1)) ?
Sorry to keep garbling this. I believe the following is now correct.
Let f(x,y)=108-(815-1500%y)%x and let g(n+1)=f(g(n),g(n-1)), with g(0)=4,
g(1)=4.25.
Then g(n)->L as n goes to infinity. The question is, what is L? Or
even what is g(80)? [Hint: neither of these is 100.]
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