Let [x] denote the greatest integer less than or equal to x. Then: \(\mathop {{\rm{lim}}}\limits_{x \to 0} \frac{{{\rm{tan}}\left( {\pi {\rm{si}}{{\rm{n}}^2}x} \right) + {{(\left| x \right| - {\rm{sin}}\left( {x\left[ x \right]} \right))}^2}}}{{{x^2}}}\)

Let [x] denote the greatest integer less than or equal to x. Then: \(

1.	Let [x] denote the greatest integer less than or equal to x. Then: \(\mathop {{\rm{lim}}}\limits_{x \to 0} \frac{{{\rm{tan}}\left( {\pi {\rm{si}}{{\rm{n}}^2}x} \right) + {{(\left\| x \right\| - {\rm{sin}}\left( {x\left[ x \right]} \right))}^2}}}{{{x^2}}}\)
A.	Does not exist
B.	Equals π
C.	Equals π + 1
D.	Equals 0
Answer» B. Equals π

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Let [x] denote the greatest integer less than or equal to x. Then: \(\mathop {{\rm{lim}}}\limits_{x \to 0} \frac{{{\rm{tan}}\left( {\pi {\rm{si}}{{\rm{n}}^2}x} \right) + {{(\left| x \right| - {\rm{sin}}\left( {x\left[ x \right]} \right))}^2}}}{{{x^2}}}\)

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