A POWER series of the form?an(z - z0)n which converges at more than one point, converges inside a circle centre z0 and coincides with the series obtained by applying Taylor's theorem to the sum ...

sequences, series, convergence tests, power series, Taylor series (O/Z) 5.4, 6.1-6.2, 7.1-7.2, 7.4, 8.1-8.4, 9.1-9.2, 10.1-10.3, 11.1-11.7 yes ...