Enter above, the names of all individuals participating in this report. Save As commands to place it there, once it is complete. They are essentially infinite degree polynomials. Along with the first 5 terms of each power series. When one substitutes a value for the variable , one obtains a regular series.
Different values yield different series.
Thus, a power series is a function of , with a twist. Instead of the usual simple computation of , once one knows , we must find the sum of a series, once we substitute a value for . Luckily, the series that result by sticking in a value for , tend to be some of the easier ones to sum. Furthermore, we don't have to stick in one value for , and find the sum, then a different value for and find it's sum, etc. We can often times find the sum of the power series for all values with a single investigation.