If $k(x)=\frac{x-64}{x-4},$ complete the table and use the results to find $\underset{x4}{lim}k(x).$

$\backslash$table$[[x,3\mathrm{.}9,3\mathrm{.}99,3\mathrm{.}999,4\mathrm{.}001,4\mathrm{.}01,4\mathrm{.}1]]$

Complete the table.

$\backslash$table$[[\backslash$table$[[x(x),3\mathrm{.}9,3\mathrm{.}99,3\mathrm{.}999]],4\mathrm{.}001,4\mathrm{.}01,41],[\backslash$table$[[($Round to three decimal places$]],,,],[$as needed.$),,,]]$

Find the limit$.$ Select the correct choice below and, if necessary, fill in the answer box within your choice.

A$.\underset{x4}{lim}\frac{x^3-64}{x-4}=$

B$.$ The limit does not exist and is neither $$ nor $-.$