Examples. Justify your answers briefly. (a) Describe the Dedekind cut corresponding to 2. Show that 2+2 = 1 on the level of Dedekind cuts. (c) Give an example of a sequence an so that lim sup an does not agree with limn∞ an, or explain why no such sequence exists.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.2: Arithmetic Sequences
Problem 5SE: Describe how linear functions and arithmetic sequences are similar. How are they different?
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Examples. Justify your answers briefly.
(a) Describe the Dedekind cut corresponding to 2. Show that 2+2 = 1 on
the level of Dedekind cuts.
(c) Give an example of a sequence an so that lim sup an does not agree with
limn∞ an, or explain why no such sequence exists.
Transcribed Image Text:Examples. Justify your answers briefly. (a) Describe the Dedekind cut corresponding to 2. Show that 2+2 = 1 on the level of Dedekind cuts. (c) Give an example of a sequence an so that lim sup an does not agree with limn∞ an, or explain why no such sequence exists.
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