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MHT CET202311 May 2023Evening ShiftMathematicsLimitsActual

If l= _ x 0 x |x|+x^2 , then the value of l is

Options

  1. A1
  2. B-1
  3. C2
  4. Dnon-existant

Correct answer

D. non-existant

Step-by-step solution

Let f (x)= x |x|+x^2 aligned & _ x 0⁻ f (x)= _ x 0 x -x+x^2 = _ x 0 1 -1+x =-1 & _ x 0⁺ f (x)= _ x 0 x x+x^2 = _ x 0 1 1+x =1 aligned Here, _ x 0⁻ f (x) _ x 0⁺ f (x) Value of l is non-existant

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