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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...
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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