This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Math 1432 Notes session 8 11.1 Infinite Series The infinite series: = k k a What this means = k k a = If terms 0, then An infinite series will converge IF the sequence (list) of PARTIAL SUMS converges. Ex: 1 2 k k = If the sequence of partial sums {s n } converges to a finite limit L we write L a k k = = and say that = k k a converges to L and L is the sum of the series. Geometric Series: ,... , , , 1 3 2 x x x is a geometric series. We write: = k k x If 1 < x then x x k k = = 1 1 If 1 x then = k k x diverges Note: ( 29 r r r N N n n = + = 1 1 1 for any r Ex: 1. 5 3 k k = 2. 7 9 k k = 3. 3 4 k k =  4. ( 29 2 k k = General Properties: If = k k a converges and = k k b converges, then ( 29 = + k k k b a converges If = k k a converges, then = k k a converges ( = k k a = ) Thm If = k k a converges then k a as k ....
View
Full
Document
This note was uploaded on 03/07/2012 for the course MATH 11278 taught by Professor Jeffmorgan during the Summer '10 term at University of Houston.
 Summer '10
 JEFFMORGAN

Click to edit the document details