Question

Вычисли значение предела

Answer 1

разложим x² + 11x + 30 = (x+5)(x + 6)

D = 121 - 120 = 1

x12 = (-11 +- 1)/2 = -5  -6

lim(x->-5) (x² + 11x + 30)/(x² - 25) = lim(x->-5) (x + 5)(x + 6)/(x - 5)(x + 5) = lim(x->-5) (x + 6)/(x - 5) = (-5 + 6)/(-5 - 5) = - 1/10 = 1/(-10)