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The largest value of the non-negative in...

The largest value of the non-negative integer a for which
`lim_(xto1) {(-ax+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=(1)/(4)` is ___________.

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
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