## Calculus (3rd Edition)

$f(x)=x^{3}$ 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.