2.2 Is any discrete space complete? Give an example to substantiate your answer.2.3 Is the set S = {1, } with metric d(r, y) = |r – y| for all r, y € S complete?Substantiate your answer.2.4 In a metric space (S, d) every convergent sequence is a Cauchy sequence. Is the statementTrue or False?

Yes, any discrete space is complete.

Answered: 2.2 Is any discrete space complete?…

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2.2 Is any discrete space complete? Give an example to substantiate your answer.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 63RE

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2.2 Is any discrete space complete? Give an example to substantiate your answer.
2.3 Is the set S = {1, } with metric d(r, y) = |r – y| for all r, y € S complete?
Substantiate your answer.
2.4 In a metric space (S, d) every convergent sequence is a Cauchy sequence. Is the statement
True or False?

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