Problem 433 (difficulty: 2/10)

Let \(\displaystyle f\) be convex in \(\displaystyle (-\infty,\infty)\) and assume that \(\displaystyle \lim\limits_{x\to-\infty}f(x)=\infty.\) Is it possible that \(\displaystyle \lim\limits_{x\to\infty}f(x)=-\infty?\)

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