eHomework05 - eHomework 5 Directions: Determine the answers...

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Homework 5 Directions: Determine the answers to the questions below. Then open the EMCF eHomework05 on CourseWare ( http://www.casa.uh.edu ) and submit your answers no later than Friday, February 19 th at 11:59pm. 1. Every Cauchy sequence is bounded. a. True b. False 2. Every monotone sequence is convergent. a. True b. False 3. Every convergent sequence is a Cauchy sequence. a. True b. False 4. According to the lecture on 02/15, the Cauchy sequences are the ones that should converge. a. True b. False 5. According to the lecture on 02/15, the completeness axiom allows us to speak a number into existence. a. True b. False 6. Suppose ( 29 n a is a sequence. If ( 29 n na converges then ( 29 0 n a . a. True b. False 7. Suppose ( 29 n a is a sequence such that 0 n a for all n . If n a n converges then ( 29 n a → ∞ . a. True b. False 8. Every Cauchy sequence is bounded. a.
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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.

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eHomework05 - eHomework 5 Directions: Determine the answers...

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