lim If [] denotes the greatest integer function, im 5 sin(cos.x] - [cosx]-2 is : ([.] denotes greatest integer function).

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( lim _{x rightarrow frac{pi}{2}} frac{5 sin [cos x]}{[cos x]+2} ) ( lim _{x rightarrow frac{pi}{2}} frac{5 sin (0)}{0+2}=frac{5}{2} ) ( =2 cdot 5 )

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