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Limits Continuity and Differentiability question

2024 · 27 Jan · Shift 2 · Q41

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 27 Jan · Shift 2 · Q41

Limits Continuity and Differentiability question

2024 · 27 Jan · Shift 2 · Q41

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\text { If } \lim_{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 : }

A
2
B
1
C
5
D
7

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