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JEE Main2002MathematicsLimitsActual

Let f(x)=4 and f^ (x)=4 . Then Lim _ x 2 x f(2)-2 f(x) x-2 is given by

Options

  1. A2
  2. B-2
  3. C-4
  4. D3

Correct answer

C. -4

Step-by-step solution

We have, Lim _ x 2 x f(2)-2 f(x) x-2 ( 0 0 )= Lim _ x 2 f(2)-2 f^ (x)=f(2)-2 f^ (2)=4-2 4=-4

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