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BITSAT2015MathematicsLimitsActual

If _ x x ( 1 x )=A and _ x 0 x ( 1 x )=B , then which one of the following is correct?

Options

  1. AA=1 and B=0
  2. BA=0 and B=1
  3. CA=0 and B=0
  4. DA=1 and B=1

Correct answer

A. A=1 and B=0

Step-by-step solution

As given, A = _ x x ( 1 x )= _ x ( 1 x ) ( 1 x ) Let t = 1 x when x , t 0 aligned A &= _ t t t =1 & [ _ t 0 x x =1 ] aligned and B = _ x 0 x ( 1 x ) B = _ x 0 x _ x 0 ( 1 x ) B =0 A=1 and B=0 is correct

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