$?$ Exercise $2\mathrm{.}2\mathrm{.}6$

For $f(x)=\frac{1}{(x-2{)}^3},$ evaluate each of the following limits$.($Possible answers include $,-,$ and DNE.$)$

$\underset{x2}{lim}\frac{1}{(x-2{)}^3}=$

$\underset{x2}{lim}\frac{1}{(x-2{)}^3}=$

$\underset{x2}{lim}\frac{1}{(x-2{)}^3}=$

$$

$f(x)=\frac{1}{(x-2{)}^3}$ a vertical asymptote at $z=2.$

Hint