(b) Let AB be the Dedekind cut for 30. Which of the following numbers are in A? 1, √2, 2,5/2, 7/2, 30? (c) Explain why, if an is an increasing sequence of positive real numbers, then 1/an is a decreasing sequence of positive real numbers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 30E
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Analysis

Examples. Justify your answers briefly.
(b) Let AB be the Dedekind cut for 30. Which of the following numbers
are in A? 1, √2, 2,5/2, 7/2, 30?
Explain why, if an is an increasing sequence of positive real numbers, then
1/an is a decreasing sequence of positive real numbers.
Transcribed Image Text:Examples. Justify your answers briefly. (b) Let AB be the Dedekind cut for 30. Which of the following numbers are in A? 1, √2, 2,5/2, 7/2, 30? Explain why, if an is an increasing sequence of positive real numbers, then 1/an is a decreasing sequence of positive real numbers.
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