Correct answer: B. Limit does not exists _ x 0 2 x |x|+x^2 L.H.L _ x 0⁻ 2 x -x+x^2 = _ x 0⁻ 2 -1+x =- R.H.L _ x 0⁺ 2 x x+x^2 = _ x 0⁺ 2 1+x = L.H.L R.H.L limit does not exist

MHT CET20227 Aug 2022Evening ShiftMathematicsLimitsActual

_ x 0 2 x |x|+x^2 =

Options

ALimit exists
BLimit does not exists
C2
D-2

Correct answer

B. Limit does not exists

Step-by-step solution

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

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