极限 lim_(x arrow 0) ( (2 + e^frac(1)/(x))(1 + e^(2)/(x)) + (sin x)/(|ln(1+x)|) ) = _.

10. 极限 $\lim_{x \rightarrow 0} \left( \frac{2 + e^{\frac{1}{x}}}{1 + e^{\frac{2}{x}}} + \frac{\sin x}{|\ln(1+x)|} \right) = \_.$

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