Question:medium

Find the value of \( \displaystyle \lim_{h \to 0} \frac{(a+h)^2 \sin(a+h) - a^2 \sin a}{h} \)

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Limits of the form \( \frac{f(a+h)-f(a)}{h} \) directly represent the derivative \( f'(a) \). Identify the function first to simplify quickly.
Updated On: Apr 28, 2026
  • \( -a^2 \sin a \)
  • 0
  • 1
  • \( a^2 \cos a + 2a \sin a \)
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The Correct Option is D

Solution and Explanation

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