11.8 Infinite Sequences & Series
Power Series: Overview
∑ where ’s are coefficients and is a variable. Power series
looks like polynomial, except with infinite terms.
Power Series Centered at :
∑ ( ) ( ) ( )
1) Series convergent only when
2) Series convergent for all
3) There exist a positive number so that convergent if | | and divergent if | |
Radius of Convergence
The value for which makes the series convergent.