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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = _ n x^2 + 2(x+1)^ 2n (x+1)^ 2n+1 + x^2 + 1 , n N and g(x) = ( 1 2 ⁻¹ ( 2f(x) 1 + f^2(x) ) ) , then _ x 0^- f(x) ^2 x + _ x -2^- f(x) + _ x -2^+ (5f(x)) is equal to (where denotes fraction part function)

Options

  1. A7
  2. B8
  3. C12
  4. DNon-existent

Correct answer

A. 7

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