Given nonnegative functions f(n), g(n), and h(n), consider the function max(f, g, h)(n) which, on input n, returns the maximum of f(n), g(n), and h(n). use the definition of big-o to establish that f(n) + g(n) + h(n) = o(max(f, g, h)( provide the necessary c and k values.

After you present a proposal, the committee starts asking you questions, some beyond the strict focus of your proposal. they ask questions about implications in other fields and knowledge about other fields. you are asked to redo your proposal. what is most likely missing? breadth of material depth of material clarity of material details of material