If lim_(x→ 0) (3 + α sin(x) + β cos(x) + log(1 - x))/3tan²(x) = 1… | JEE Main 2024 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2024 · 27 January, Shift 2Limits

If $\lim_{x\to 0} \frac{3 + \alpha \sin(x) + \beta \cos(x) + \log(1 - x)}{3\tan^2(x)} = \frac{1}{3}$ , then $2\alpha - \beta$ is equal to:

A
$2$
B
$7$
C
$5$
D
$1$

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