Let An = {n,n+1,n+2,...} for each nЄ N. Here N = {0, 1, 2, 3, ... } (a) Is An countable for every n? Explain. (b) What is the cardinality of U0 An? Justify your answer. n=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 27E
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Let An
=
{n,n+1,n+2,...} for each nЄ N. Here N = {0, 1, 2, 3, ... }
(a) Is An countable for every n? Explain.
(b) What is the cardinality of U0 An? Justify your answer.
n=0
Transcribed Image Text:Let An = {n,n+1,n+2,...} for each nЄ N. Here N = {0, 1, 2, 3, ... } (a) Is An countable for every n? Explain. (b) What is the cardinality of U0 An? Justify your answer. n=0
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