I have a function h with the property
Now A is a nonempty set which has a supremum
Are there functions such that:
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For the first question, let h(x)=-1/x (-1<x<0) .
I think, for the second question, the answer is NO.
but -1/x is not monotonic on the whole real line
I think that the second is true for for instance
is this right?
Originally Posted by hanns but -1/x is not monotonic on the whole real line
for instance Then the answer is No.
If A has a supremum,(say a), but h(A) doesn't, then what is h(a+1)?
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