R = N ^ (N ^ (N ^ ...)). What is the maximum N>0 that will yield a finite R?
This seems too easy: log(x^a)=alog(x), so log(R)=Rlog(R) and hence R=1 is the only value that works. Thus it looks like N=1 is the only value that works.
The above isn't right. log(R)=Rlog(N). See next comment by David Shin for the correct analysis.
Edited on October 30, 2004, 6:08 pm

Posted by Richard
on 20041030 17:27:09 