Estimating Two-Sided Limits Numerically

Take the function $f(x)=(3+\sqrt[3]{x})(6-4x^2+x^3)$ and solve for the following values to find $\lim\limits_{x\to8}{f(x)}$. $$\\\begin{array}{|c|c|c|} \hline 7&7.9&7.99&7.999&\rightarrow8\\ \hline &&&&\rightarrow?\\ \hline \end{array} \\\begin{array}{|c|c|c|} \hline 8\leftarrow&8.001&8.01&8.1&9\\ \hline ?\leftarrow&&&&\\ \hline \end{array}$$