Macroeconomics Exam Review 80

Macroeconomics Exam Review 80 - 2.96 Let ∈ . Then for...

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Unformatted text preview: 2.96 Let ∈ . Then for every > 0 there exists > 0 and ∈ such that ∥ − ∥ < / 3 and ( , ) ≤ = ⇒ ( ( ) , ( ) < / 3 so that if ( , ) ≤ ∥ ( ) − ( ) ∥ ≤ ∥ ( ) − ( ) ∥ + ∥ ( ) − ( ) ∥ + ∥ ( ) − ( ) ∥ < 3 + 3 + 3 = 2.97 For every ⊆ − ( ) = { ∈ : ( ) ∩ ∕ = ∅} + ( ) = { ∈ : ( ) ⊆ } For every x ∈ either ( ) ⊆ or ( ) ∩ ∕ = ∅ but not both. Therefore + ( ) ∪ − ( ) = + ( ) ∩ − ( ) = ∅ That is + ( ) = ( − ( ) ) 2.98 Assume ∈ ( ) − 1 . Then ( ) = , ( ) ⊆ and...
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This note was uploaded on 01/16/2012 for the course ECO 2024 taught by Professor Dr.dumond during the Fall '10 term at FSU.

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