Problem 684 (difficulty: 4/10)

Find a function \(\displaystyle f\) such that \(\displaystyle \lim\limits_{x\to\infty}f'(x)=0,\) but \(\displaystyle \lim\limits_{x\to\infty}f(x)\neq 0.\)

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government