Complete the table by computing $f(x)$ at the given values of $x.$

$f(x)=\frac{|x-7|}{x-7}$

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

Use these results to estimate the indicated limit $($if it exists$).($If an answer does not exist, enter DNE.$)$

$\underset{x7}{lim}f(x)$