Consider the following.

$\underset{x-7}{lim}\frac{\sqrt[\phantom{2}]{2-x}-3}{x+7}$

Create a table of values for the function. $($Round your answers to four decimal places.$)$

$\backslash$table$[[x,-7\mathrm{.}1,-7\mathrm{.}01,-7\mathrm{.}001,-6\mathrm{.}999,-6\mathrm{.}99,-6\mathrm{.}9],[f(x),,,,,,]]$

Use the table to estimate the limit$.$ Use a graphing utility to graph the function to confirm your result. $($Round your answer to four decimal places.$)$

$\underset{x-7}{lim}\frac{\sqrt[\phantom{2}]{2-x}-3}{x+7}$~~