For each positive integer k, let Ar be a set defined as follows: 1 1 Ag = {x € R -2Es* 2k' 2k What are the following two sets? 00 Ak =? k=1 00 Ak =? k=1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 4E: Find the smallest integer in the given set. { and for some in } { and for some in }
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For each positive integer k, let Ar be a set defined as follows:
1
-s*s} = [-2 2]
1
Ax = {x € R |
2k)
What are the following two sets?
00
Ar =?
k=1
00
Ak =?
k=1
Transcribed Image Text:For each positive integer k, let Ar be a set defined as follows: 1 -s*s} = [-2 2] 1 Ax = {x € R | 2k) What are the following two sets? 00 Ar =? k=1 00 Ak =? k=1
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