Question$1$: Order the following function from most growing to least. Order all functions. $($Hints: you can take a logarithm from two function is needed i order to see which one is bigger$)$

$f_1(n)=n^{},f_2(n)={}^n,f_3(n)=(\frac{n}{5}),f_4(n)=\sqrt[\phantom{2}]{2^{\sqrt[\phantom{2}]{n}}}$

$f_5(n)=(\frac{n}{n-4}),f_6(n)=2^{lo{g}^{4}n},f_7(n)=n^{5(logn{)}^2},f_8(n)=n^4(\frac{n}{4})$

$A$:

$B$: $logn!,n^{loglogn},n^2,2^n,e^n,n{2}^n$