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