1.
If limx03+αsinx+βcosx+loge(1x)3tan2x=13\displaystyle \lim_{x \to 0} \frac{3 + \alpha \sin x + \beta \cos x + \log_e(1-x)}{3 \tan^2 x} = \frac{1}{3}, then 2αβ2\alpha - \beta is equal to