need help with a discrete mathematics question

need help with problem 2 on this question

Characterize the rate of growth of each function f below by giving a function g such that f- O(g). The function g should be one of the functions in the table of common functions. b) f(n) = 7(log log n) + 3(log n) + 12n c) fn) = 23n + n3-2 Problem 2 For the polynomial f(n) = (1/2)ns_ 100n3 + 3n-1, prove that fis (n) Give a complete proof providing specific values for c and k and prove algebraically that the polynomial satisfies the definitions for O and . Problem 3 In the maximum subsequence sum problem, the input is a sequence of numbers and the output is the maximum number that can be obtained by summing the numbers in a subsequence of the input sequence. If the input was the sequence -3, -1, 17, 5, 66, 22, -5, 42, the output would be 147 because the sum of subsequence 17, 5, 66,-5, 42 is 147. Any other subsequence will sum to an equal or smaller number. The empty subsequence sums to 0, so the maximum subsequence sum will always be at least 0