2. (6 points) Order the following functions by order of growth. If a function f is listed before g then f(n) = O(g(n)). If two functions have the same order of growth then f(n) -e(g(n)). For example if fi(n) = 2n and -n log n then fi-O() but fi-e(s), where fi(n)-2108". Make sure you briefly justify your answers. fi(n)- 1/log n n ",nlog", 10n loglog n, (1.001)", 22100, (3n+1)², 10³nlog n log n n ' log(2) k=0