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COMEDK202510 May 2025Morning ShiftMathematicsLimitsActual

Find the value of _ h 0 (a+h)^2 (a+h)-a^2 a h

Options

  1. A1
  2. B-a^2 a
  3. C0
  4. Da^2 a+2 a a

Correct answer

D. a^2 a+2 a a

Step-by-step solution

The given limit is of the form f'(a) = _ h 0 f(a+h) - f(a) h where f(x) = x^2 x Differentiating using product rule: f'(x) = 2x x + x^2 x At x = a : f'(a) = 2a a + a^2 a

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