Let $f(x)=\frac{1}{x-1}.$ Calculate the difference quotient $.$

$\frac{f(-2+h)-f(-2)}{h}$ for

$h=\mathrm{.}1$

$h=\mathrm{.}01$

$h=-\mathrm{.}01$

$h=-\mathrm{.}1$

If someone now told you that the derivative $($slope of the tangent line to the graph$)$ of $f(x)$ at $x=-2$ was $-\frac{1}{n^2}$ for some integer $n$ what would you expect $n$ to be$?$

$n=$