$(9)$ Graph the appropriate functions $($first try by hand and then verify your sketches with the grapher$)$ and then determine the infinite limits$.$ Include small sketches. $($a$)\underset{x{0}^{+}}{lim}lnx,$ nbsp;nbsp;nbsp; $($b$)\underset{x{0}^{+}}{lim}\frac{1}{x},$ nbsp;nbsp;nbsp; $($c$)\underset{x{0}^{-}}{lim}\frac{1}{x},$ nbsp;nbsp;nbsp; $($d$)\underset{x0}{lim}\frac{1}{x},$ nbsp;nbsp;nbsp; $($e$)\underset{x{0}^{+}}{lim}\frac{1}{x^2},$ nbsp;nbsp;nbsp; $($f$)\underset{x{0}^{-}}{lim}\frac{1}{x^2},$ nbsp;nbsp;nbsp; $($g$)\underset{x{0}^{-}}{lim}cotx,$ nbsp;nbsp;nbsp; $($h$)\underset{x{0}^{+}}{lim}$cot $x,$nbsp;nbsp;nbsp; $($i$)\underset{x0}{lim}cotx.$nbsp;nbsp;nbsp;