Answer
$$3$$
Work Step by Step
$Assume \lim\limits_{x \to 1} f(x) = 8, \lim\limits_{x \to 1 } g(x) = 3$
$\lim\limits_{x \to 1}$ $\sqrt[3] {f(x)g(x)+3}$
=$(\lim\limits_{x \to 1} f(x)*\lim\limits_{x \to 1}g(x)+\lim\limits_{x \to 1} 3)^{1/3}$
=$(8*3+3)^{1/3}$
=$(24+3)^{1/3}$
=$(27)^{1/3}$
=$3$
