Question

$lim_{n to5} frac{ x^{2} -11x+30}{ x^{2} -25}$

Answer 1

$lim x-> 5 frac{x^2-11x+30}{x^2-25}\ lim x-> 5 frac{x^2-11x+30}{x^2-25}\ lim x-> 5 frac{(x-6)(x-5)}{(x-5)(x+5)}\ lim x-> 5 frac{x-6}{x+5} = -frac{1}{10}$

Answer 2

$limlimits_{xto5}frac{x^2-11x+30}{x^2-25}=frac00=\= limlimits_{xto5}frac{x^2-5x-6x+30}{(x-5)cdot(x+5)}=\ =limlimits_{xto5}frac{xcdot(x-5)-6cdot(x-5)}{(x-5)cdot(x+5)}=\= limlimits_{xto5}frac{(x-5)cdot(x-6)}{(x-5)cdot(x+5)}=\=limlimits_{xto5}frac{x-6}{x+5}=frac{5-6}{5+6}=-frac{1}{10}=\ =-0,1.;\ limlimits_{xto5}frac{x^2-11x+30}{x^2-25}=-frac{1}{10}=-0,1$

Answer 3

готово