Question:
Let S C R be non empty and bounded above so that sup S
Last updated: 4/29/2023
![Let S C R be non empty and bounded above so that sup S](https://media.kunduz.com/media/sug-question-candidate/20230429072513878484-5032748.jpg?h=512)
Let S C R be non empty and bounded above so that sup S exists Show that there exists an increasing sequence Sn neN of elements S ES for all n N such that s sup S as n Hint Use the characterisation of the supremum for cleverly chosen competitors of the supremum