• {1/n :n € N} • {2 – 1/n : n € N}. • {e";r € Q}. • {r² : 0 < ¤ < 2}. n(1 – 1/n, 2 + 1/n) where n E N U[1/n, n] where n E N.
• {1/n :n € N} • {2 – 1/n : n € N}. • {e";r € Q}. • {r² : 0 < ¤ < 2}. n(1 – 1/n, 2 + 1/n) where n E N U[1/n, n] where n E N.
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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Question
#1. 4-6. Thanks.
![1. Find the sup and inf of the following sets.
• {1/n :n € N}
• {2 – 1/n : n € N}.
• {e";r € Q}.
• {r² : 0 < x < 2}.
• n(1 – 1/n, 2+ 1/n) where n e N
• U[1/n, n] where n e N.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbb66fa7-7c22-4982-a22f-aaed542f65b3%2F8dbe946a-b8f5-4ee6-9b66-b721d8770a4b%2Fq71zbl3_processed.png&w=3840&q=75)
Transcribed Image Text:1. Find the sup and inf of the following sets.
• {1/n :n € N}
• {2 – 1/n : n € N}.
• {e";r € Q}.
• {r² : 0 < x < 2}.
• n(1 – 1/n, 2+ 1/n) where n e N
• U[1/n, n] where n e N.
Expert Solution
Step 1
We have to find supremum and infimum of the given sets .
A bounded set has upper bounds which is bounded above and bounded below.
Supremum of any set A - Smallest upper bound of any set A is called supremum of set A.
Infimum of any set A- Greatest upper bound of any set A is called infimum of set A.
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