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KVPY2017MathematicsLimits

Let g(x)= ₀^ |x|^ 2 / 4 t^ 2 / 3 1 t d t , for all real x . Then _ x 0 g ( x ) x is equal to

Options

  1. A-
  2. B0
  3. C3 4

Correct answer

A. -

Step-by-step solution

Apply L hospital rule array l g^ (x)=|x|^ 1 / 2 ( 1 |x|^ 3 / 4 ) _ x 0 g^ (X) _ x 0 |x|^ 1 / 2 ( 1 |x|^ 3 / 4 )=0 array

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