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Limits Continuity and Differentiability question

2014 · Shift 1 · Q39

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JEE Advanced
Mathematics
Limits Continuity and Differentiability
2014 · Shift 1 · Q39

Limits Continuity and Differentiability question

2014 · Shift 1 · Q39

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityNumerical+3 / −1

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

\mathop {\lim }\limits_{x \to 1} {\left\{ {{{ - ax + \sin (x - 1) + a} \over {x + \sin (x - 1) - 1}}} \right\}^{{{1 - x} \over {1 - \sqrt x }}}} = {1 \over 4}

is

Numerical answer

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