For each t ∈ R, let [t] be the greatest integer less than or equal to t. Then, \(\mathop {{\rm{lim}}}\limits_{x \to 1 + } \frac{{\left( {1 - \left| x \right| + {\rm{sin}}\left| {1 - x} \right|} \right){\rm{sin}}\left( {\frac{\pi }{2}\left[ {1 - x} \right]} \right)}}{{\left| {1 - x} \right|\left[ {1 - x} \right]}}\)

For each t ∈ R, let [t] be the greatest integer less than or equal t

1.	For each t ∈ R, let [t] be the greatest integer less than or equal to t. Then, \(\mathop {{\rm{lim}}}\limits_{x \to 1 + } \frac{{\left( {1 - \left\| x \right\| + {\rm{sin}}\left\| {1 - x} \right\|} \right){\rm{sin}}\left( {\frac{\pi }{2}\left[ {1 - x} \right]} \right)}}{{\left\| {1 - x} \right\|\left[ {1 - x} \right]}}\)
A.	Equals 1
B.	Equals 0
C.	Equals -1
D.	Does not exists
Answer» C. Equals -1

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