Let $f(x)=\sqrt[\phantom{2}]{x^{6}16}-x^3-7.$

Complete the tables below, Round all table values to four decimal places, if necessary. Enter DNE if a function value is undefined.

$\backslash$table$[[x,-10000,-1000,-100,-10],[f(x),,,,]]$

$\backslash$table$[[x,10,100,1000,10000],[f(x),,,,]]$

Using the data in the tables above, determine the following limits$.$ Enter BNE if a limit fails to exist, except In case of an infinite limit$.$ If an infinite limit exists, enter ocor $--,$ as appropriate.

$\underset{x-}{lim}(\sqrt[\phantom{2}]{x^{6}16}-x^3-7)=$

$\underset{x}{lim}(\sqrt[\phantom{2}]{x^{6}16}-x^3-7)=$