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Answer whether the following statements are True or False.

There exists a differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$ such that
$\lim _{x \rightarrow \infty} f(x)=2 \quad \text { and } \quad \lim _{x \rightarrow \infty} f^{\prime}(x)=1 .$

1
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