For \(\alpha ,\beta ,\gamma ,\in R\), if \(\lim _{\mathrm{x}\to 0}\frac{{\mathrm{x}}^{2}\mathrm{sinαx}+(\gamma -1){\math…

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

[JEE Main 2025, 2 Apr (Shift 1)]