Iffhas domain [0, $\displaystyle \infty$) and has no horizontal asymptotes, then $\displaystyle \lim_{x\to\infty}{f(x)=\infty$ or $\displaystyle \lim_{x\to\infty}{f(x)=-\infty$.

The answer is false...But I'm having a difficult time ascertaining why that is the case. I might be interpreting the statement wrong...I don't know. Could I get some advice? Thanks a lot.