MATH 2007 Lecture 16: 11.8) Power Series
17 Dec 2018
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Def a series of called a the farm eeoca x a about power series a a co and cu centered co starts at a. The caked the coefficients c c co a. Co c cc x n the sees 2 co hence converges absolutely. Cor o cnn. ua is x o x 0. Ca o cn ii k 1 l j fee sees conveys only. A ah x s anuses absolutely theorem gives a power series iec gc a. Nato there are d series converges at ooty for all. Ix al er series and diverges in case set. A r a air endpoint na r the series may converge absolutely converge conditionally. Converges may be at the interval on which the series eatpoint either. Convergence of theorem the radius of power series etc ck aj convergence is of the o f fin. lauf find the radius r and. 0 x 3t ex l the series is.
