Homework Statement
Given that the function f is differentiable on the interval (a,\infty) and that \lim_{x\rightarrow\infty}f'(x)= 0. Show that \lim_{x\rightarrow\infty}\frac{f(x)}{x}= 0.
Homework Equations
The Attempt at a Solution
I have a pretty good intuition of why this is true: As...