Problem 638 (difficulty: 2/10)

Assume that \(\displaystyle f:(a,b)\to \R\) is differentiable, \(\displaystyle \lim_{x\to b}f(x)=\infty\). Does it imply that \(\displaystyle \lim_{x\to b}\) \(\displaystyle f'(x)\) \(\displaystyle =\) \(\displaystyle \infty\)?

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