(a) Consider the set A = {x ER : x has a terminating decimal expression}. Is A countable or uncountable? Give a one-sentence justification for your answer. You can use results from the chapter notes. (b) Recall the definition of |A|=|B| for sets A and B, and use the definition to show that |N| = |{ : ne Z}|. You do not need to prove that the function you define is a bijection.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Consider the set A = {x R x has a terminating decimal expression}. Is A
countable or uncountable? Give a one-sentence justification for your answer. You
can use results from the chapter notes.
(b) Recall the definition of |A|=|B| for sets A and B, and use the definition to show
that
|N| = |{/12/2
2}\.
You do not need to prove that the function you define is a bijection.
: ne
z}|
Transcribed Image Text:(a) Consider the set A = {x R x has a terminating decimal expression}. Is A countable or uncountable? Give a one-sentence justification for your answer. You can use results from the chapter notes. (b) Recall the definition of |A|=|B| for sets A and B, and use the definition to show that |N| = |{/12/2 2}\. You do not need to prove that the function you define is a bijection. : ne z}|
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