1. What is meant by β is the infimum of a set S? 2. Prove that if an infimum of a set S is exists then it is unique? 3. Suppose A, B ⊆ R are both non-empty subsets with α = Sup(A) and β = sup(B) both exist- ing. Then if A ⊆ B then α ≤ β .

1. What is meant by β is the infimum of a set S? 2. Prove that if an infimum of a set S is exists then it is unique? 3. Suppose A, B ⊆ R are both non-empty subsets with α = Sup(A) and β = sup(B) both exist- ing. Then if A ⊆ B then α ≤ β .

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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