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MHT CET20243 May 2024Evening ShiftMathematicsLimitsActual

For each x R , Let [x] represent greatest integer function, then _ x 0⁻ x([x]+|x|) [x] |x| is equal to

Options

  1. A0
  2. B1
  3. C1
  4. D- 1

Correct answer

D. - 1

Step-by-step solution

aligned & _ x 0⁻ x([x]+|x|) [x] x & For x 0⁻,[x]=-1,|x|=-x & _ x 0⁻ x(-1-x) (-1) -x & = _ x 0⁻ -(1+x) (1) 1 [x 0, x 0] & =-(1+0) 1 & =- 1 aligned

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