Much has been written about the arithmetic and geometric series, {nx} and {xn}. Here some of the properties of the sequence of hyperpowers {nx} are studied in the interval (0,1) using the derivatives and the analytical tools such as L'Hopital's rule and Newton's method. The sequence {"x} has two subsequences {Ex} and {°x] depending on whether n is even (E) or odd (O). The former has one relative minimum point (as does the generalized parabola {*£}). The other subsequence on the other hand {°*:] has a number of points of inflection, but not relative minimum. The analytical methods are too cumbersome without the aid of computers and perhaps this is the reason why so little work has been done on these functions in the past. Eighteen different properties are mentioned and they can all be verified by students who are familiar with computers.