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MHT CET20242 May 2024Morning ShiftMathematicsLimitsActual

The value of _ x 0 x |x|+x^2 is .

Options

  1. A1
  2. B-1
  3. C0
  4. Ddoes not exist.

Correct answer

D. does not exist.

Step-by-step solution

aligned & L.H.L. = _ x 0⁻ x |x|+x^2 & = _ x 0⁻ x -x+x^2 & = _ x 0⁻ 1 x-1 =-1 & R.H.L. = _ x 0⁺ x |x|+x^2 & = _ x 0⁺ x x+x^2 & = _ x 0⁺ 1 1+x =1 & = L.H.L. R.H.L. aligned Limit does not exist.

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