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The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive.
Let $$\alpha, \beta \in R$$ be such that $$ \lim_{x \rightarrow 0}\frac{x^2 \sin (\beta x)}{\alpha x - \sin x} = 1$$. Then $$6(\alpha + \beta)$$ equals
Correct Answer: 7
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