This preview shows pages 1–6. 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 DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1. If lim n !1 j a n +1 a n j = L < 1 ; then the series is absolutely convergent. 2. If lim n !1 j a n +1 a n j = L > 1 ; then the series is divergent. 3. If lim n !1 j a n +1 a n j = 1 ; then the Ratio Test is inconclusive. ex. 1 X n =1 3 n n ! 4 ex. 1 X n =1 2 n n 2 ex. 1 X n =1 1 n 3 5 NYTI: 1 X n =1 ( 1) n +1 n 2 2 n n ! ex. 1 X n =1 n 2 n Tonights homework: Practice Ratio test and work out problems to test for absolute or conditional convergence or divergence. Pay attention to which ones cant be determined by applying ratio test . What do you do to determine the convergence of these problems? 6...
View
Full
Document
This note was uploaded on 02/14/2012 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.
 Spring '08
 Bonner
 Calculus

Click to edit the document details