Question

$\lim _{x\to \:0}\left(\frac{\sin \left(x\right)^9}{x}\right)$

Answer 1

$\Large\boxed{\begin{array}{l}\displaystyle\sf\lim_{x \to 0}\bigg(\dfrac{sen(x)^9}{x}\bigg)=\lim_{x \to 0}\dfrac{[sen(x)^9]'}{[x]'}\\\displaystyle\sf\lim_{x \to 0}\dfrac{9sen(x)^8\cdot cos(x)}{1}=0\end{array}}$