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Question
If $\mathop {\lim }\limits_{x \to 0} {{\alpha x{e^x} - \beta {{\log }_e}(1 + x) + \gamma {x^2}{e^{ - x}}} \over {x{{\sin }^2}x}} = 10,\alpha ,\beta ,\gamma \in R$, then the value of $\alpha$ + $\beta$ + $\gamma$ is _____________.
Correct Answer
3

Solution

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