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Question Number 159130 by metamorfose last updated on 13/Nov/21

$$f\in {\mathcal{C}}^0(\mathbb{R},\mathbb{R}),\frac{f\left(x\right)}{x}\underset{x\to +\mathrm{\infty }}{\to }0$$$$Does\underset{x\to +\mathrm{\infty }}{\lim }f(x+1)-f\left(x\right)exist?$$

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