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Homework 8
Test Review Information:
You are responsible for standard set notation, including the names
and definitions of the sets of natural numbers, integers, rational numbers and real numbers, and
the associated arithmetic operations and general knowledge, standard set notation, and interval
notation. In addition, you are responsible for the well ordering property of the natural numbers,
the principle of mathematical induction, the triangle inequality, the completeness axiom, the
notions of upper and lower bounds of a set, maximum and minimum of a set, supremum and
infimum of a set, LUB and GLB of a set, the density of the rational numbers, the density of the
irrational numbers, sequences, notions of convergence, divergence and limits of sequences, the
uniqueness of limits, the knowledge that convergent sequences are bounded, the notions of upper
bound, lower bound, supremum, infimum, LUB and GLB of a sequence, results pertaining to
limits of sums, products and quotients of sequences, the sandwich (pinching/squeeze) theorem,
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 Spring '08
 Staff
 Real Numbers, Integers, Natural Numbers, Sets, Order theory, Metric space, subsequence

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