03/07/2016, 01:48 AM
I think studying the iterations itself is Nice too.
As for the limit function being analytic, im not sure anymore.
I found arguments against the squeeze theorem part.
So the M-test might fail.
I tried a disproof too , but got trapped into assumptions that turned out to be wrong.
More specific , my assumptions led to the idea that no analytic tetration existed , so they must be wrong.
I compared f(exp(x)) with exp(f(x)).
On the other hand with Some luck the squeeze theorem works afterall.
Regards
Tommy1729
As for the limit function being analytic, im not sure anymore.
I found arguments against the squeeze theorem part.
So the M-test might fail.
I tried a disproof too , but got trapped into assumptions that turned out to be wrong.
More specific , my assumptions led to the idea that no analytic tetration existed , so they must be wrong.
I compared f(exp(x)) with exp(f(x)).
On the other hand with Some luck the squeeze theorem works afterall.
Regards
Tommy1729