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MHT CET2008MathematicsLimits

_ x 0 a x- b x x² is equal to

Options

  1. Aa²-b² 2
  2. Bb²-a² 2
  3. Ca²-b²
  4. Db²-a²

Correct answer

B. b²-a² 2

Step-by-step solution

_ x 0 a x- b x x² = _ x 0 -a a x+b b x 2 x (using L'Hospital's rule) = _ x 0 -a² a x+b² b x 2 = b²-a² 2 (using L'Hospital's rule)

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