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Manipal MET2020MathematicsLimits

_ x 0 ₀^ x^2 t d t x^3 is equal to

Options

  1. A2 3
  2. B1 3
  3. C0

Correct answer

A. 2 3

Step-by-step solution

_ x 0 ₀^ x^2 t d t x^3 ( . form . 0 0 )= _ x 0 x^2 2 x 3 x^2 (using L' Hospital's rule) = _ x 0 2 3 x x = 2 3 1= 2 3

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