Question $4.$ Rank the following functions by their order of growth. Arrange them as $g_1,g_2,$dots,$g_{30},$ such that $g_1=(g_2),g_2=$

$(g_3),$dots, and $g_{29}=(g_{30}).$ Group the functions into equivalence classes, where two functions $f(n)$ and $g(n)$ are in the same

class if and only if $f(n)=(g(n)).$