Supplementary mathematics/power series

A power series is a type of mathematical series that is also an infinite series. The back power series shows an infinite function that either converges or diverges. The application of the power series for identity or single-sentence patterns is to be able to calculate them as an orderly expansion and their convergence. The power series of a single variable converges at the radius of convergence, which means that within the extent of this radius or region of convergence, all values of the variable less than the radius tend to converge to a point. Introduction Radius of convergence Proofs Operations on power series Examples of power series Differentiation of power series The exponential function Appendix: Review of series