If lim ( x to 0) (alpha x e ^(x) - beta ...

If `lim _( x to 0) (alpha x e ^(x) - beta log _(e) (1 + x ) + gamma x ^(2) e ^(-x))/( x^2 sin x) = 10, alpha , beta, gamma in R,` then the value of `alpha+ beta + gamma ` is ____________.

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS

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