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Unformatted text preview: and is bounded below, then f a n g is convergent. 1 ex. f a n g is a monotonic increasing sequence such that a 1 = 2 ;a n +1 = 1 2 ( a n + 6) for n ± 2 : and a n < 6 for all n . Find the limit of the sequence. ex. f a n g is a monotonically decreasing sequence such that a 1 = 2 ;a n +1 = 1 3 ² a n for n ± 1 : and < a n ³ 2 for all n . Find the limit of the sequence. 2 NYTI: Sequence p 2 ; p 2 p 2 ; q 2 p 2 p 2 ::: is mono-tonically increasing and bounded above. Find the limit of the sequence. 3...
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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