Question

limx>2 x^2-5x+6
x^2-12x+20

Answer 1

$lim_{x to 2 } frac{ x^{2} -5x+6}{ x^{2} -12x+20} = lim_{x to 2} frac{( x^{2} -5x+6)'}{( x^{2} -12x+20)'} =$
$= lim_{x to 2} frac{2x-5}{2x-12} = frac{2*2-5}{2*2-12} = frac{-1}{-8} = frac{1}{8}$