lim(x->2, y->-2) (y^2 + 5y + 6)(x- 1)/(x^2 + x - 2)(y + 2) =
разложим многочлены
ну от x ничего не зависит , наверное x -> 1
y^2 + 5y + 6 = (y + 2)(y + 3)
D = 5^2 - 24 = 1
y12=(-5+-1)/2 = -2 -3
x^2 + x - 2 = (x + 2)(x - 1)
D = 1 + 8 = 9
x12 = (-1 +- 3)/2 = -2 1
= lim(x->2, y->-2) (y + 2)(y + 3)(x - 1)/(y + 2)(x + 2)(x - 1) = lim(x->2, y->-2) (y + 3)/(x + 2) = (-2 + 3)/(2 + 2) = -1/4
lim(x->2, y->-2) (y^2 + 5y + 6)(x- 1)/(x^2 + x - 2)(y + 2) =
разложим многочлены
ну от x ничего не зависит , наверное x -> 1
y^2 + 5y + 6 = (y + 2)(y + 3)
D = 5^2 - 24 = 1
y12=(-5+-1)/2 = -2 -3
x^2 + x - 2 = (x + 2)(x - 1)
D = 1 + 8 = 9
x12 = (-1 +- 3)/2 = -2 1
= lim(x->2, y->-2) (y + 2)(y + 3)(x - 1)/(y + 2)(x + 2)(x - 1) = lim(x->2, y->-2) (y + 3)/(x + 2) = (-2 + 3)/(2 + 2) = -1/4