what is the limit? lim x→−3 (x³ - 3x² + 4x - 12) -24 30 54 -78

Explanation:

Step1: Substitute x = - 3

Substitute x=-3 into the polynomial $x^{3}-3x^{2}+4x - 12$. $(-3)^{3}-3\times(-3)^{2}+4\times(-3)-12$

Step2: Calculate each term

Calculate each term: $(-3)^{3}=-27$, $3\times(-3)^{2}=3\times9 = 27$, $4\times(-3)=-12$. So we have $-27-27 - 12-12$.

Step3: Perform subtraction

$-27-27-12 - 12=-78$.

Answer:

-78