Some time ago, in a half of the july (Bachelor exam -> exam for the second degree studies -> peace of mind) I realized that I commited myself to write article about Power Series (and things related). And now it is done, it is available under link below:
Power Series - convergence, Taylor's theorem (for this moment it is only available in Polish).
It contains a 7 examples of solving "Power Series" problems with detailed descriptions (Cauchy-Hadamard theorem, radius of convergence, surface of convergence, Taylor's theorem, differentiation and integration of power series, computing the sum of the power series. If I get motivated myself I will try to translate whole article to English.
