Exercise 2.2.4. Give an example of each or state that the request is impossible. For any that are impossible, give a compelling argument for why that is the case. (a) A sequence with an infinite number of ones that does not converge to one. 49 48 (b) A sequence with an infinite number of ones that converges to a limit not equal to one. (c) A divergent sequence such that for every nЄ N it is possible to find n consecutive ones somewhere in the sequence. " lho the greatest integer less than or equal to x. For 1' and C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 4E
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Exercise 2.2.4. Give an example of each or state that the request is impossible.
For any that are impossible, give a compelling argument for why that is the case.
(a) A
sequence with an infinite number of ones that does not converge to one.
Transcribed Image Text:Exercise 2.2.4. Give an example of each or state that the request is impossible. For any that are impossible, give a compelling argument for why that is the case. (a) A sequence with an infinite number of ones that does not converge to one.
49
48
(b) A sequence with an infinite number of ones that converges to a limit not
equal to one.
(c) A divergent sequence such that for every nЄ N it is possible to find n
consecutive ones somewhere in the sequence.
"
lho the greatest integer less than or equal to x. For
1'
and
C
Transcribed Image Text:49 48 (b) A sequence with an infinite number of ones that converges to a limit not equal to one. (c) A divergent sequence such that for every nЄ N it is possible to find n consecutive ones somewhere in the sequence. " lho the greatest integer less than or equal to x. For 1' and C
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