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AP EAMCET2008MathematicsLimits

If f(2)=4 and f^ (2)=1 , then _ x 2 x f(2)-2 f(x) x-2 is equal to

Options

  1. A-2
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

Given that, f(2)=4 and f^ (2)=1 aligned & _ x 2 x f(2)-2 f(x) x-2 & = _ x 2 x f(2)-2 f(2)+2 f(2)-2 f(x) x-2 = & _ x 2 f(2)-2 _ x 2 f(x)-f(2) x-2 = & f(2)-2 f^ (2) = & 4-2(1) = & 2 aligned

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