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JEE Main2002MathematicsLimitsActual

Lim _ x 0 x^n-[x] [x] , n N ([ x ] denotes greatest integer less than or equal to x )

Options

  1. Ahas value -1
  2. Bhas value 0
  3. Chas value 1
  4. Ddoes not exist

Correct answer

D. does not exist

Step-by-step solution

Since Lim _ x 0 [x] does not exist, hence the required limit does not exist

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