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Consider the set of sequences X = {(xn): xn € {0,1}, n € N} and Y = {(x₂) € X | x₂ = 1 for at most finitely many n (a)X is countable, Y is finite. (b)X is uncountable, Y is countable. (c)X is countable, Y is uncountable. rish (d)y259614 uncountable, Y is uncountable.

Consider the set of sequences X = {(xn): xn € {0,1}, n € N} and Y = {(x₂) € X | x₂ = 1 for at most finitely many n (a)X is countable, Y is finite. (b)X is uncountable, Y is countable. (c)X is countable, Y is uncountable. rish (d)y259614 uncountable, Y is uncountable.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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33. Consider the set of sequences X = {(xn): xn € {0,1}, n € N} and Y = {(x₂) EX | Xn (a)X is countable, Y is finite. (b)X is uncountable, Y is countable. (c)X is countable, Y is uncountable. Amrish 91 (d)X is 9614) = 1 for at most finitely many n}. Then is uncountable, Y is uncountable.
Transcribed Image Text:33. Consider the set of sequences X = {(xn): xn € {0,1}, n € N} and Y = {(x₂) EX | Xn (a)X is countable, Y is finite. (b)X is uncountable, Y is countable. (c)X is countable, Y is uncountable. Amrish 91 (d)X is 9614) = 1 for at most finitely many n}. Then is uncountable, Y is uncountable.
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