Consider two functions f$($n$)$ and g$($n$).$

f$($n$)$ is o$($g$($n$))($read "little$-$o$")$ if for every constant c $>0$ there exists a constant n$0>0$ such that f$($n$)<$ cg$($n$),$ for all n $>=$ n$0.$

f$($n$)$ is w$($g$($n$))($read "little$-$omega"$)$ if for every constant c $>0$ there exists a constant n$0>0$ such that f$($n$)>$ cg$($n$),$ for all n $>=$ n$0.$

True or false: f$($n$)$ cannot be both o$($g$($n$))$ and w$($g$($n$)).$