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Problem of the Week #365 - August 17, 2021

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Euge

MHB Global Moderator
Staff member
Jun 20, 2014
1,929
Here is this week's POTW:

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