Answer
$3$
Work Step by Step
We need to build a table that shows the values of $x$ close to $1$ from the left and right sides and the values of $f(x)$ for those values of $x$.
$ x= 0.9..........., x= 1.111111$
This gives: $ f(x)= 2.71,......f(x)= 3.345678654$
From the table, we have
$\lim_\limits {x \to 1} \dfrac{x^3-1}{x-1}=3$
