Answer
Continuity
Work Step by Step
$f(x)=x^{3}$ is continuous and from the definition of continuity, we have
$\lim\limits_{x \to 2}f(x)=f(2)$
$\implies \lim\limits_{x\to 2}x^{3}=2^{3}=8$
Therefore the property that allows us to conclude that the limit is equal to 8 is continuity.
