This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: e Homework 7 Directions: Determine the answers to the questions below. Then open the EMCF eHomework07 on CourseWare ( http://www.casa.uh.edu ) and submit your answers no later than Wednesday, March 3 rd at 11:59pm. 1. Every bounded sequence has a nonempty set of subsequential limit points. a. True b. False 2. Suppose ( 29 n a is bounded. Then ( 29 ( 29 limsup n n LUB a a ≤ . a. True b. False 3. If ( 29 n a is convergent then ( 29 ( 29 limsup n n LUB a a ≤ . a. True b. False 4. If ( 29 n a is convergent then ( 29 ( 29 liminf limsup n n a a = . a. True b. False 5. Every convergent sequence is bounded. a. True b. False 6. The sequence 1 sin 12 n π + has ____ entries in its subsequential limit set. a. 0 b. 6 c. 12 d. 24 e. a number other than 0, 6, 12 or 24 7. The lim inf of ( 29 1 sin 12 n n π  + is a.1 b.1/2 c. 0 d. sin 1 12 π  e. None of these. 8. The lim sup of...
View
Full
Document
This note was uploaded on 01/06/2011 for the course MATH 3333 taught by Professor Staff during the Spring '08 term at University of Houston.
 Spring '08
 Staff

Click to edit the document details