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NDA2017MathematicsLimitsActual

What is _ x 0 e^x-(1+x) x^2 equal to?

Options

  1. A0
  2. B1
  3. C1/2
  4. D2

Correct answer

B. 1

Step-by-step solution

_ x 0 e^x-(1+x) x^2 If we keep x=0 , it is 0 0 . So, applying L'Hospital rule. _ x 0 e^x-(1+x) x^2 = 1 2 _ x 0 e^x-1 x = 1 2 1= 1 2 .

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