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COMEDK20269 May 2026Evening ShiftMathematicsLimitsActual

_ x 2 ( 1 - x x ) is equal to

Options

  1. A-1
  2. B1
  3. C1 2
  4. D0

Correct answer

D. 0

Step-by-step solution

The given limit is of the form 0 0 as x 2 . Multiplying the numerator and the denominator by 1 + x : _ x 2 ( 1 - x x 1 + x 1 + x ) = _ x 2 ( 1 - ^2 x x (1 + x) ) = _ x 2 ( ^2 x x (1 + x) ) = _ x 2 ( x 1 + x ) Substituting x = 2 : = 0 1 + 1 = 0 Answer: 0

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