Compute $\lim_{x \rightarrow 0} \frac{1-\arctan (\sin(x)+1)}{e^{x}-1}$

How should I compute the following limit

$$\lim_{x \rightarrow 0} \frac{1-\arctan (\sin(x)+1)}{e^{x}-1}?$$


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Erdos Erdos
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