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JEE Main2012MathematicsLimitsActual

_ x 0 ( x- x x ) ( 1 x )

Options

  1. Aequals 1
  2. Bequals 0
  3. Cdoes not exist
  4. Dequals -1

Correct answer

B. equals 0

Step-by-step solution

Consider _ x 0 ( x- x x ) ( 1 x )= _ x 0 [ x (1- x x ) x ] _ x 0 ( 1 x )= _ x 0 [1- x x ] _ x 0 ( 1 x )= [1- _ x 0 x x ] _ x 0 ( 1 x )=0 _ x 0 ( 1 x )=0

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