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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let A be the greatest value of the function f(x) = log_x [x], (where [.] denotes greatest integer function) and B be the least value of the function g(x) = |sin x| + |cos x|, then :

Options

  1. AA > B
  2. BA < B
  3. CA = B
  4. D2A + B = 4

Correct answer

C. A = B

Step-by-step solution

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