JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

The largest value of the non-negative integer a for which

\lim \limits_{{\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

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Correct option: A

Option A (2) is correct because solving the limit equation leads to a quadratic equation for 'a', and the largest non-negative integer solution is 2.

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