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KCET2012MathematicsLimits

_ x 0 x 2^ x -x 1- x is equal to

Options

  1. A2 2
  2. B2
  3. C1 2 2
  4. D1 2

Correct answer

B. 2

Step-by-step solution

aligned _ x 0 x 2^ x -x 1- x &= _ x 0 x 2^ x 2 x aligned ( 0 0 form ) (L'Hopital's rule) = 2 _ x 0 [x 2^ x 2+2^ x 1 ] x (L'Hopital's rule) = 2

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