The limit value limx tends to be 1, ((1 / 1-x) - (3 / 1-x ^ 3)) =LIM (1 + X + x ^ 2-3) / (1-x ^ 3) general division =lim (x^2+x-2)/(1-x^3) =lim (x-1)(x+2)/(1-x^3) =-lim (x+2)/(1+x+x^2) =-3/3 =-1 Why is it that the denominator tends to zero?

The limit value limx tends to be 1, ((1 / 1-x) - (3 / 1-x ^ 3)) =LIM (1 + X + x ^ 2-3) / (1-x ^ 3) general division =lim (x^2+x-2)/(1-x^3) =lim (x-1)(x+2)/(1-x^3) =-lim (x+2)/(1+x+x^2) =-3/3 =-1 Why is it that the denominator tends to zero?


Approaching zero is not zero. Infinitesimal quantities can be divided if the denominators are the same