(a) Describe the Dedekind cut corresponding to √11. Your description should not refer directly to any irrational numbers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 30E
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Examples. Justify your answers briefly.
(a) Describe the Dedekind cut corresponding to √11. Your description should
not refer directly to any irrational numbers.
(b) Give an example of a closed subset of R that is not sequentially compact.
Transcribed Image Text:Examples. Justify your answers briefly. (a) Describe the Dedekind cut corresponding to √11. Your description should not refer directly to any irrational numbers. (b) Give an example of a closed subset of R that is not sequentially compact.
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