$\lim_{x\to0}\left(\frac{\sin\left(x+1\right)}{2x^2-2}\right)$

$\lim_{x\to\infty}\left(\frac{x^2-3x^2+2x}{x^2+6x-9}\right)$

$\frac{1-1024n^{10}}{1-2n}$

$\left(z^2+y\right)\left(z^2-y\right)$

$\left|\left(\frac{1}{2}\right)^2\right|^3$

$\frac{3^3.5^5.6^9}{6^8.3^2.5^3}$

$\lim_{x\to0}\left(\frac{ln\left(1+x\right)}{ln\left(ln\left(e^x+e^{-x}\right)\right)}\right)$