Date: May 23, 2013 5:45 PM
Author: steinerartur@gmail.com
Subject: Does this imply that lim x --> oo f'(x) = 0?

Thank you all.

The difficult thing is giving an example with f increasing. If we don't require f to be increasing, another simple example is f(x) = (sinx^2))/x if x <> 0, f(0) = 0