$\underset{h→0}{\lim}\frac{(a+h)^2\sin (a+h)-a^2\sin a}{h}$ is equal to
Answer & explanation
Correct answer: option 3
$\underset{h→0}{\lim}\frac{(a+h)^2\sin (a+h)-a^2\sin a}{h}$
Apply L’Hospital’s rule
$\underset{h→0}{\lim}\frac{2(a+h)\sin (a+h)+(a+h)^2\cos (a+h)}{1}=2a\sin a+a^2\cos a$