For both part 1 and 2, indicate whether f = O(g), f = (g), or both (i.e., f = (g)). Give a brief justification for your answer. It may help to plot the functions and obtain an estimate of their relative growth rates. May also help to express each function as a power of 2 and then compare.

f(n)=n1.01;g(n)=n(logn)2 f(n)=lognn2;g(n)=n(logn)2