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Based on the graph of $f(x)$ shown below, which of the following is FALSE?

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A

$\lim_{x \to \infty}f(x)=3$

B

$\lim_{x \to -\infty}f(x)=3$

C

$\lim_{x \to 0}f(x)=\infty$

D

$f(x)$ is bounded.

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