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AP EAMCET20228 Jul 2022Evening ShiftMathematicsLimitsActual

If [ ] denotes greatest integer function, then _ x ⁺ 2 [ x]-[ x]+1 2 =

Options

  1. A0
  2. B-1 2
  3. C1 2
  4. D1

Correct answer

D. 1

Step-by-step solution

aligned & _ x ⁺ 2 [ x]-[ x]+1 2 & = 0-(-1)+1 2 [ array l For x> 2 , 0 x < 1 and -1 x < 0 array ] & = 2 2 =1 aligned

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