Find the linearization of the function $f(x)=\frac{1}{6x5}$ at $x=-1.$

$L(x)=$

Find the true values of $f(x)$ and the approximations using $L(x)$ below. Round all of your answers to $3$ decimal places. You can use a calculator, spreadsheet, browser, etc. to calculate the exact values.

$\backslash$table$[[x,$The exact value,The approximate value$],[-1\mathrm{.}1,f(x),],[-1\mathrm{.}01,$Number,$],[-1\mathrm{.}001,,]]$