1 S = 0 1000 100,000 10 € = (†)* (k ≥ 1). " 2n-1 (1) ²¹—¹, ...}, 10

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

Find a number s that satisfies the assertion
made in Theorem 11.1.4 for S and epsilon as given below. Image of theorem has been attached

THEOREM 11.1.4
If m is the greatest lower bound of the set S and € is a positive number, then
there is at least one numbers in S such that
m≤s<m+€.
Transcribed Image Text:THEOREM 11.1.4 If m is the greatest lower bound of the set S and € is a positive number, then there is at least one numbers in S such that m≤s<m+€.
1
1000 100,000
23. S = {10¹1000
€ = ()*(k≥ 1).
"
·
9
2n-1
(1) ²¹ ·},
10
3
Transcribed Image Text:1 1000 100,000 23. S = {10¹1000 € = ()*(k≥ 1). " · 9 2n-1 (1) ²¹ ·}, 10 3
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