The answer is given. Please show steps on how to solve each problem.

Use O. , or to relate each of the following pairs of functions. In particular, you need to write your answer as f(n) = 0(g(n), f(n) = (g(n)), or f(n) = (g(n)). In case f(n) = (g(n)), you will not receive credit if you write f(n) = 0(g(n)) or f(n) = (g(n)), although both are implied by f(n) = (g(n)) 1. f(n) = n log n, g(n) = i= I Solution: f(n) = (g(n)) 2. f(n) = 1.01", g(n) = n1000 Solution f(n) = (g(n)) i=1 i=1 Solution f(n) = (g(n)) Solution: f(n) = (g(n)) 0.0001 i=1 Solution: f(n) = O(g(n))