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MHT CET202415 May 2024Morning ShiftMathematicsLimitsActual

_ x 2 (1- ( x 2 ) )(1- x) (1+ ( x 2 ) )( -2 x)^3 is

Options

  1. A0
  2. B1 32
  3. C1 8
  4. D1 16

Correct answer

B. 1 32

Step-by-step solution

aligned Let l & = _ x 2 [ 1- ( x 2 ) 1+ ( x 2 ) ] [ (1- x) ( -2 x)^3 ] & = _ x 2 . ( 4 - x 2 ) ](1- x) ( -2 x)^3 aligned Put -2 x= x= 2 - 2 and as x 2 , 0 aligned l & = _ 0 4 (1- 2 ) ^3 & = _ 0 4 4 4 2 ^2 4 ^2 16 16 & = 1 32 _ 0 [ 4 4 ( 4 4 )^2 ]= 1 32 (1)(1)^2= 1 32 aligned

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