$($Asymptotic notation examples$)$ This problem will be graded automatically by Gradescope.

Please enter your answers manually by completing the assignment Homework $8-$Problem $5.$ For

each of the following, select true or false using the radio buttons on Gradescope. All logarithms are

base $2$ unless otherwise stated.

$($a$)3^n=2^{O(n)}$

$($h$)n^4=O(n^{2}logn)$

$($b$)2^{2^n}=O(2^{2n})$

$($i$)nlo{g}^{2}n=o(n^{2}logn)$

$($c$)nO(n^n)$

$($j$)3^n=O(2^n)$

$($d$)2^n=3^{o(n)}$

$($k$)2^n=o(3^n)$

$($e$)2n=o(n^2)$

$($l$)1=o(n)$

$($f$)2^{332}=O(n)$

$($m$)log(logn)=o(logn)$

$($g$)16n=O(n)$

$($n$)\frac{1}{3}=o(1)$