The statements below show some features of Big-Oh notation for the functions f f (n) and g g(n).\ Determine whether each statement is TRUE or FALSE and correct the formula in the latter case. [Read\ CORMEN Section 3.1 to learn more about the rules if you have not done so already.]\ Statement Is it TRUE\ or FALSE?\ If it is FALSE then write\ the correct formula\ Rule of sums:\ O(f + g) = O(f ) + O(g)\ Rule of products:\ O(f g) = O(f ) O(g)\ Transitivity:\ if g = O(f ) and h = O(f ) then g = O(h)\ 5n + 8n2 + 100n3 = O(n4)\ 5n + 8n2 + 100n3 = O(n2logn)\