08/11/2013, 02:16 AM
Let x-> oo
Let lim f(x)/g(x) = 1.
Let lim f(x)-g(x) does not exist.
Let f(x),g(x) be strictly rising.
What is the min value r such that
1) 0<r<1
2)lim ln^[r](f(x)) - ln^[r](g(x)) exists
(^[] is composition)
regards
tommy1729
Let lim f(x)/g(x) = 1.
Let lim f(x)-g(x) does not exist.
Let f(x),g(x) be strictly rising.
What is the min value r such that
1) 0<r<1
2)lim ln^[r](f(x)) - ln^[r](g(x)) exists
(^[] is composition)
regards
tommy1729