03/11/2010, 12:50 AM
(03/10/2010, 11:38 AM)bo198214 Wrote:(03/09/2010, 01:31 PM)tommy1729 Wrote: so in the OP replace sinh(x) with 2*sinh(x).
and then we dont have a parabolic fixpoint !
and we do have an asympt.
And what do you do with this asymptote then?
i take the half-iterate of it by using taylor series expanded at 0.
f(x) is a taylor series , f(f(x)) = 2*sinh(x).
f(x) is then a good asympt for the half iterate of exp(x) for large x.
let g(g(x)) = exp(x)
then g(x) =
lim k-> oo log log log log ...( k times ) (f( e^e^e^...( k times ) ^ x))
something like that i think.
regards
tommy1729