2. (15 pts) For each of the following pairs of functions, either f(n) is in O(g(n)), f(n) is in 2(g(n)), or f(n) = (g(n)). Determine which relationship is correct and briefly explain why. Hint: use Lopital's rule a. f(n) = logn?; g(n) = logn + 5 b. f(n) = = log? n; g(n) = logn ( = c c. f(n) = 21; g(n) = 3n " ==