Найдите значение предела функции

x^4-27x+x^3-27/3x-9

Lim x->3 (x^4 - 27x + x^3 - 27) / (3x - 9) = [ 0/0]

lim x->3 (x (x^3 - 27) + 1 (x^3 - 27)) / 3 (x - 3) =

= lim x->3 ((x^3 - 27) (x + 1)) / (3 (x - 3)) =

= lim x->3 ((x - 3) (x^2 + 3x + 9) (x + 1)) / (3 (x - 3)) =

= lim x->3 ((x^2 + 3x + 9) (x + 1)) / 3 =

= ((3^2 + 3*3 + 9) (3 + 1)) / 3 =

= 108/3 = 36