Answer
$2$
Work Step by Step
We are given the function:
$f(x)=\dfrac{18(\sqrt[3]x-1)}{x^3-1}$.
In order to determine $\lim\limits_{x \to 1} f(x)$, we graph $f(x)$ and use zoom and trace features to approximate the limit.
We got:
$\lim\limits_{x \to 1} \dfrac{18(\sqrt[3]x-1)}{x^3-1}=2$