- #1
fortin946
- 3
- 0
I am looking for a continuous and increasing function f(x) which tends to infinity as x tends to infinity.
This function must have the property that it is eventually smaller than logk(x)
(the k-th iterated logarithm) for all k>=1
I have no hint how to find such a function!
One of my problems is that logk(x) tends to 0 when k tends to infinity...
then how is it possible ton find f(x) increasing?!
This function must have the property that it is eventually smaller than logk(x)
(the k-th iterated logarithm) for all k>=1
I have no hint how to find such a function!
One of my problems is that logk(x) tends to 0 when k tends to infinity...
then how is it possible ton find f(x) increasing?!