Main Question or Discussion Point
Does there exist to be any real number r such that what the title above says will become true ?
I know definition of real numbers but the fact is that I am studying about sequence, series, with inf and sup and these problems appear in the exercise pages which I am required to finish before next week's Tuesday. This means I have got to prove this theory in relation to sup and inf...matt grime said:Erm, the *definition* of the real numbers assures you that there is such a number, and that it is unique up to sign. That is the proof, you do know *a* definition of the real numbers?
Proving Z has no inf or sup should be very easy: how do you think you do it?
matt grime said:sup means the least upper bound, inf means greatest lower bound.
I am glad defiinitions are straighten out. If it had been lub and glb, not sup and inf, I might have guessed as much.