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COMEDK20269 May 2026Evening ShiftMathematicsLimitsActual

If _ x 0 ( p 2x + 1 - 2x x + x ) = 1 then the value of ' p ' is

Options

  1. A2
  2. B-1
  3. C1 2
  4. D1

Correct answer

D. 1

Step-by-step solution

The given limit is _ x 0 ( p 2x + 1 - 2x x + x ) = 1 . Substituting x = 0 , we get the form 0 0 . Applying L'Hospital's rule by differentiating the numerator and the denominator with respect to x : _ x 0 ( 2p 2x + 2 2x 1 + ^2 x ) = 1 Substituting x = 0 into the expression: 2p (0) + 2 (0) 1 + ^2(0) = 1 2p(1) + 0 1 + 1 = 1 2p 2 = 1 p = 1 Answer: 1

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