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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

This question is solved.