For α, β, γ ∈ ℝ, if lim_(x → 0) (x² sin α x + (γ - 1)e^x²)/(sin 2… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 2 April, Shift 1Limits

For $\alpha, \beta, \gamma \in \mathbb{R}$ , if $\lim_{x \to 0} \frac{x^2 \sin \alpha x + (\gamma - 1)e^{x^2}}{\sin 2x - \beta x} = 3,$ then $\beta + \gamma - \alpha$ is equal to:

A
$7$
B
$4$
C
$6$
D
$-1$

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