solve

Consider the function $\backslash ($ f$($x$)=\backslash$frac$\{$x$\}\{($x$+1)($x$+2)\}\backslash ).$

When $\backslash ($ x $\backslash )$ is close to $\backslash (-2\backslash )$ with $\backslash ($ x $<-2\backslash ),$ the function $\backslash ($ f $\backslash )$ is $[$Select$].$ As $\backslash ($ x $\backslash )$ approaches $\backslash (-2\backslash )$ from the left, the numerator of $\backslash ($ f$($x$)\backslash )$ approaches $\backslash (-2\backslash )$ while its denominator approaches $[$Select$].$ So we can conclude that the limit

$$ $\backslash$lim$\_\{$x $\backslash$to $-2\}$ f$($x$)$ $$

is $[$Select$].$