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Let f , g and h be the real valued functions defined of R as        0 x , 1 0 x , | x | x ) x ( f ,            1 x , 1 1 x , ) 1 x ( ) 1 x sin( ) x ( g and h ( x ) = 2[ x ] – f ( x ), where [ x ] is the greatest integer  x . Then the value of 1 x lim  g(h(x – 1) ) is

1. 1
2. – 1
3. sin
4. (4) 0

Correct answer: 1

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