I have a function h with the property Now A is a nonempty set which has a supremum Are there functions such that:
Follow Math Help Forum on Facebook and Google+
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 for instance 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)?
View Tag Cloud