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Question 57

The largest value of the nonnegative integer a for which
$$\lim_{x \rightarrow 1}\left\{\frac{-ax + \sin (x - 1) + a }{x + \sin (x - 1) - 1}\right\}^{\frac{1 - x}{1 - \sqrt x}} = \frac{1}{4}$$

Correct Answer: 0

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