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BITSAT2012MathematicsLimitsActual

_ x / 2 (1- ( x 2 ) )(1- x) (1+ ( x 2 ) )( -2 x)³ =?

Options

  1. A1 / 8
  2. B0
  3. C1 / 32

Correct answer

C. 1 / 32

Step-by-step solution

Put x= 2 -h as x 2 , h 0 Given limit = _ h 0 1- ( 4 - h 2 ) 1+ ( 4 - h 2 ) (1- ) (2 ~h )³ = _ h 0 h 2 2 ² h 2 8 ~h ³ = _ h 0 1 4 h 2 h 2 2 ( h 2 h 2 )² 1 4 = _ h 0 1 32 ( h 2 h 2 2 ) ( h 2 h 2 )²= 1 32

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