Question

помогите с вычислением пределов,плиз 8,10,12 под цифрами 1

Answer 1

$LARGE \ 8) lim_{xto{-1}}{(x+3)(x-2)over x+2}={(-1+3)(-1-2)over -1+2}=-{6over1}=-6\\ 10)lim_{xto{0}}{2x^3-2x^2over5x^3-4x^2}=2lim_{xto{0}}{x^2(x-1)over x^2(5x-4)}=2lim_{xto{0}}{x-1over 5x-4}=2cdot{1over4}={1over2}\\ 12)lim_{xto{5}}{x^2-8x+15over x^2-25}=begin{vmatrix} x^2-8x+15=0\ x_1=3, x_2=5 end{vmatrix}=lim_{xto{5}}{(x-3)(x-5)over(x-5)(x+5)}=lim_{xto{5}}{x-3over x+5}={2over10}={1over5}$