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Unformatted text preview: 4111 R N Notes Theorem 4 ( R N is complete, using previously proved theorems) Theorem 6 (Heine-Borel, again using previously proved theorems) 4111 R Notes Theorem 6 (Examples that bounded sets in R need not be totally bounded) 511 Continuity Notes Theorem 4 (Equivalence of the - and sequence denitions of continuity) 511 Continuity and Connectedness Notes Theorem 2 (Intermediate Value Theorem) 4111 Existence of Optima Notes Theorem 1(the continuous image of a compact set is compact) Theorem 2 (a continuous real-valued function on a compact set has a maxi-mum)...
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This note was uploaded on 05/20/2010 for the course ECON 511 taught by Professor Johnnachbar during the Fall '08 term at Washington University in St. Louis.
- Fall '08