Find limx -2-sin x- where -x- indicates greatest integer function

lim_x→π/2[sin x ] #160;Now, L.H.L=lim_x→π^ /2[sin x ]=[sin(π^ 2)]=0 R.H.L=lim_x→π^+/2[sin x ]=[sin(π^+2)]=0 #160; ∴ #160; L.H.L= ...

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Substitution Method to Remove Indeterminate Form

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Question

Find $lim x \to \frac{π}{2} [sin x]$ where $[x]$ indicates greatest integer function

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