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Unformatted text preview: < x 2 < 2 } is bounded above but has no least upper bound.) (2) By looking in some books or on the internet, ﬁnd two examples of ordered ﬁelds other than Q and R , including one which does not satisfy the archimedean property. (3) Show that any convergent sequence of rational numbers has a unique limit. (4) Section 2.1.3 # 1. (5) Section 2.1.3 # 8. 1...
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This note was uploaded on 09/22/2010 for the course MATH 413 at Cornell University (Engineering School).