Compare the following pairs of functions f(n),g(n) in terms of order of magnitude. In each case determine whether f(n)=O(g(n)),f(n)=(g(n)), and/or f(n)= (g(n)) : (Give a brief justification for your answers.) 1. f(n)=0.2n 1.05 +loglogn,g(n)=n+(logn) 5 2. f(n)=(loglogn) loglogn ,g(n)=n 1.5 /logn 3. f(n)=n 4 2 n+8 ,g(n)=3 n