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JEE Math Practice Question

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

  1. A.$-$1
  2. B.4
  3. C.6
  4. D.7

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