How to prove that ln ( x ) < x for x → ∞During...
How to prove that for
During my calculus homework I need to prove some limits without using L'Hôpital's rule. I have difficulties to show rigorously that for big enough x.
For example, I need to find the image of the continues function such that for every :
I've tried to prove that if , and then the image of will be all the reals. Unfortunately, I don't find the way to make it formal enough.