If [] denotes the greatest integer ...
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If [] denotes the greatest integer function, 7 lim sin(cos.x] - [cos.x] -2 is :(.] denotes greatest integer function)

JEE/Engineering Exams
Maths
Solution
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( left.operatorname{kt}_{x rightarrow pi / 2} frac{5 sin [cos x]}{[cos x]+2}right] ) ( x rightarrow pi_{2}^{+} cdot frac{5 sin (-1)}{-1+2}=-5 sin 1 ) ( begin{array}{c}ln 1 cdot sin (0)=0 x rightarrow pi / 2 & frac{5 sin 2}{0+2}=0 text { Limit doen't exist }end{array} )
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