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NDA2019MathematicsLimitsActual

_ x 1- ^3 4 x x^2 is equal to

Options

  1. A0
  2. B12
  3. C24
  4. D36

Correct answer

C. 24

Step-by-step solution

_ x 0 1- ^3 4 x x^2 The given limit is in 0 0 form. So, apply L'hospital rule. aligned & _ x 0 -3 ^2 4 x(- 4 x) 4 2 x & = _ x 0 12 ^2 4 x 4 x (2 x) 2 2 & =24 _ x 0 ^2 4 x 4 x 4 x & =24(1)=24 aligned

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