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AP EAMCET2015MathematicsLimits

If g(x)= x [x] for x >2 , then _ x 2 g(x)-g(2) x-2 is equal to

Options

  1. A-1
  2. B0
  3. C1 2
  4. D2

Correct answer

C. 1 2

Step-by-step solution

Given, g(x)= x [x] When, x>2 , then [x]=2 g(x)= x 2 Now, _ x 2 g(x)-g(2) x-2 = _ x 2 x 2 -1 x-2 = _ x 2 x-2 2(x-2) = _ x 2 ( 1 2 )= 1 2

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