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Problem of the Week #365 - August 17, 2021

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MHB Global Moderator
Staff member
Jun 20, 2014
Here is this week's POTW:

Prove that if $f:\mathbf{R} \to \mathbf{R}$ is continuous and $\lim\limits_{x\to \infty} f(f(x)) = \infty$, then $\lim\limits_{x\to \infty} |f(x)| = \infty$.

Remember to read the POTW submission guidelines to find out how to submit your answers!