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Which of the following limits that describe the behavior of the function, $f(x)$, shown in the graph is FALSE?

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$\lim_{x \to \infty}f(x)=1$

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

$\lim_{x \to 1}f(x)=\infty$

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