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Manipal MET2012MathematicsLimits

The value of _ x 0 ₀^ x^2 ^2 t d t x x is

Options

  1. A2
  2. B1
  3. C0
  4. DNone of these

Correct answer

B. 1

Step-by-step solution

_ x 0 ₀^ x^2 ^2 t d t x x Using L Hospital's rule, we get aligned & = _ x 0 ^2 (x^2 ) 2 x-0 x x+ x & = _ x 0 2 ^2 (x^2 ) x+ x x & = 2 2 =1 aligned

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