Question: .*Let S CR be non-empty and bounded above (so that sup S exists). Show that there exists an increasing sequence (Sn)nen of elements s,

.*Let S CR be non-empty and bounded above (so that sup S

.*Let S CR 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 sn sup S as n . Hint: Use the characterisation of the supremum for cleverly chosen competitors of the supremum.

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