The following is in no way an original idea. I heard about it, many years ago, from my major professor, Dr. Christopher Hunter (Florida State University), and, at a later date, have come across essentially the same idea in "Computer Methods for Mathematical Computations" by G.E. Forsythe, M.A. Malcolm, C.B. Moller, Prentice-Hall (1977), page 16. The results you will be getting on your machine will, perhaps, be different from ours, due to different machine accuracy, but we hope that our presentation will remain consistent.