Compute the following limits using l'H\^opital's rule if appropriate. Use INF to denote $\infty$ and MINF to denote $-\infty$.

$\lim_{x\to 0} \frac{x}{\int_x^{x^2}\sqrt[3]{512-2 t^3}\,dt}$ =

$\lim_{x\to 0^+} \sin(x)\ln(x)$ =