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Most Important Selected Qs for JEE AdvancedMathematicsLimits

If _ x 2 ( ₃ (a x^2+3 x +1 ) )^ _ (x-1)^2 3 = , where is a finite real number then

Options

  1. Aa=-1
  2. B'a' can have more than one values
  3. C=e^ -2 / 3
  4. D=e^ -1 / 3

Correct answer

D. =e^ -1 / 3

Step-by-step solution

_ x 2 ( ₃ (a x^2+3 x+1 ) ) must be equal to 1 So 4 a+7=3 a=-1 Also l= e ^ _ x 2 ( ₃ (- x ^2+3 x +1 )-1 ₃( x -1) ) = e ^ _ x 2 ( ( x -1)(3-2 x ) (- x ^2+3 x +1 ) ) = e ^ -1 / 3

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