Examples. Justify your answers briefly. (a) Give the Dedekind cut for 5. Your answer should not refer directly to any irrational numbers. (b) Give an example of a sequence with exactly 3 accumulation points.
Examples. Justify your answers briefly. (a) Give the Dedekind cut for 5. Your answer should not refer directly to any irrational numbers. (b) Give an example of a sequence with exactly 3 accumulation points.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Analysis
Expert Solution
Step 1
(a) Give Dedekind cut for .
Definition: Dedekind cut is defined as a partition of the rationals into two subparts such that
1) are non empty.
2)
3) If are rationals , then .
4) If then such that .
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