Find the infimum and supremum of the set B = {x + y : x, y ∈ R>0} or prove that they do not exist?

👨🏻‍🏫 學術台數學

[匿名]

2016-11-25 1:08 pm

How to find the infimum and supremum of the set B = {x + y : x, y ∈ R>0} or prove that they do not exist?

Thanks!

回答 (1)

cidyah

2016-11-25 1:54 pm

The infimum is 0 (0 does not belong to the set)
The supremum does not exist

https://en.wikipedia.org/wiki/Infimum_and_supremum

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