Evaluate the following limit : lim(h→0) ((a + h)^2 sin(a + h)- a^2 sin a)/h

Question

Evaluate the following limit : \(\lim\limits_{h \to0}\cfrac{(a+h)^2\,sin(a+h)-a^2\,sin\,a}h \)

lim(h→0) ((a + h)² sin(a + h)- a² sin a)/h

Answer 1

= \(\lim\limits_{h \to0}\cfrac{(a+h)^2\,sin(a+h)-a^2\,sin\,a}h \)

lim(h→0) ((a + h)² sin(a + h)- a² sin a)/h