JEE Main 202427 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002
\text { If } \lim _\limits{x \rightarrow 0} \frac{3+\alpha \sin x+\beta \cos x+\log _e(1-x)}{3 \tan ^2 x}=\frac{1}{3} \text {, then } 2 \alpha-\beta \text { is equal to : }