Limit as $x$ approaches $0$ for a function. Unfortunately this question does not make the slightest sense to me. I know how to find limits but this is confusing. Any help will be appreciated...
$$\lim_{x\to 0}\frac{\sin(x^m)}{(\sin x)^p}$$
where $m$ and $p$ are positive integers. (Hint: the answer will depend on
$m$ and $p$.)
How will I find that? Thanks!

Hint: $$\frac{\sin(x^m)}{(\sin x)^p}\sim \frac{x^m}{x^p}, \quad x \to 0.$$
Consider the cases $m=p$, $m>p$ and $m<p$.
