Find the limit of $\frac{x^2+8x-9}{x^3-x^2+5x-5}$ as $x$ approaches $5$

Find the limit

$\lim_{x\to1}\left(\frac{x^9-1}{x^5-1}\right)$

Find the limit

$\lim_{x\to2}\left(\frac{x^2-4x+4}{x^3-12x+16}\right)$

Find the limit

$\lim_{x\to1}\left(\frac{x^5-1}{x^3-1}\right)$

Find the limit

$\lim_{x\to1}\left(\frac{2x^3-3x^2+1}{x^3-3x+2}\right)$

Find the limit

$\lim_{x\to-3}\left(\frac{x^4-81}{x+3}\right)$

Find the limit

$\lim_{x\to-1}\left(\frac{12x^3+12x^2}{x^4-x^2}\right)$

Find the limit

$\lim_{x\to8}\left(\frac{x-8}{x^2-64}\right)$