Consider any sequence of real numbers {hn} n=0. For this sequence we compute the difference table, to get the diagonal sequence {cn} n=0. Let H(x) denote the exponential generating function for {hn} n=0, and let C(x) denote the exponential generating function for {cn} n=0. (i) Express C(x) in terms of H(x). (ii) Prove that your answer to (i) is correct.