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COMEDK2014MathematicsLimits

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

Options

  1. Aa
  2. Bl 2 a
  3. C2 a
  4. D2 2

Correct answer

C. 2 a

Step-by-step solution

_ x 0 x a^ x -x 1- x = _ x 0 x (a^ x -1 ) 2 ² x 2 [ 2 =1-2 ² ]= _ x 0 a^ x -1 ( x 2 x 2 )² = _ x 0 2 ( a^ x -1 x ) [ _ x 0 x 2 x 2 ]² = 2log a

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