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Limits Continuity and Differentiability question

2025 · 2 Apr · Shift 1 · Q43

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 2 Apr · Shift 1 · Q43

Limits Continuity and Differentiability question

2025 · 2 Apr · Shift 1 · Q43

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

For

\alpha, \beta, \gamma \in \mathbf{R}

, if

\lim_{x \rightarrow 0} \frac{x^2 \sin \alpha x+(\gamma-1) \mathrm{e}^{x^2}}{\sin 2 x-\beta x}=3

, then

\beta+\gamma-\alpha

is equal to :

A
$-$ 1
B
4
C
6
D
7

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