find the limit. lim(x→0) (x^3 - 6x + 8)/(x - 2) 0 -4 does not exist 4

find the limit. lim(x→0) (x^3 - 6x + 8)/(x - 2) 0 -4 does not exist 4

find the limit. lim(x→0) (x^3 - 6x + 8)/(x - 2) 0 -4 does not exist 4

Answer

Explanation:

Step1: Substitute x = 0

Substitute (x = 0) into (\frac{x^{3}-6x + 8}{x - 2}). (\frac{0^{3}-6\times0 + 8}{0 - 2})

Step2: Simplify the expression

Calculate the numerator (0^{3}-6\times0 + 8=8) and denominator (0 - 2=-2). Then (\frac{8}{-2}=-4).

Answer:

-4