Given,
\(\lim\limits_{\text h \to0}\cfrac{(a+h)^2\,sin(a+h)-a^2\,sin\,a}h \)
Explanation: \(\lim\limits_{\text h \to0}\cfrac{(a+h)^2\,sin(a+h)-a^2\,sin\,a}h \)
Hence, \(\lim\limits_{\text h \to0}\cfrac{(a+h)^2\,sin(a+h)-a^2\,sin\,a}h \)
= 2a sin a + a2 cos a