2. Prove that if A₁. An... is a countable collection of countable sets (i.e. VnEN A,, is countable), then UA₁ #+1 is also countable.

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 1CR: Determine whether each of the following statements is true or false, and explain why. A set is a...
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2. Prove that if A₁. An... is a countable collection of countable sets
(i.e. VnEN A,, is countable), then
U An
#+1
is also countable.
Transcribed Image Text:2. Prove that if A₁. An... is a countable collection of countable sets (i.e. VnEN A,, is countable), then U An #+1 is also countable.
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