$\lim_{x\to\infty}\left(\frac{5^x}{8x^2-5^x}\right)$

$\left(5xy^3\:-\:6\right)^2$

$27\cdot30$

$\lim_{x\to\infty}\left(\left(\frac{\left(x^2-3x+1\right)}{\left(x^2+x-1\right)}\right)^{\left(4n+2\right)}\right)$

$\left(7x-2\right)\left(7x+4\right)$

$\sqrt[3]{64x^6}$

$\lim_{x\to4}\left(3\left(x-4\right)^{x-4}\right)$