Mathematics

Mathematics

Problem

For α,β,γ∈R\alpha, \beta, \gamma \in \mathbf{R}, if lim⁡x→0x2sin⁡αx+(γ−1)ex2sin⁡2x−βx=3\lim_{x \to 0} \frac{x^2 \sin \alpha x + (\gamma - 1)e^{x^2}}{\sin 2x - \beta x} = 3, then β+γ−α\beta + \gamma - \alpha is equal to: (1) 7 (2) 4 (3) 6 (4) -1

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