In each case below, demonstrate whether the given expression is true or false.

$($a$)3$n$2$n $=$ o$($n$3)($b$)$ lg$($n$)=$ o$($lg$(2$n$))($c$)3$n $=$ o$(32$n$)$

$($d$)$ n$4$n $=$ o$($n$!)($e$)$

lg$($n$)=$ o$($

$5$ n$)($f$)$ n$!=$ o$(($n $+1)!)$