For each of the

following pairs of functions, either f$($n$)$ is in O$($g$($n$)),$ f$($n$)$ is

in $\backslash$Omega $($g$($n$)),$ or f$($n$)=\backslash$Theta $($g$($n$)).$ Determine which relationship is correct and briefly

explain why. Hint : use Lopital$$s rule

log$^2$n g$($n$)=$ logn c$.$ f$($n$)=2^$n