The largest value of the non-negative integer \( a \) for which \( \lim _{\alpha \rightarrow 1}\....

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The largest value of the non-negative integer \( a \) for
P
which \( \lim _{\alpha \rightarrow 1}\left\{\frac{-a x+\sin (x-1)+a}{x+\sin (x-1)-1}\right\}^{\frac{1-x}{1-\sqrt{x}}}=\frac{1}{4} \), is
(1) 2
(2) 3
(3) 4
(4) 5


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