Your idea is correct ( just a little thing, if inequalities are strict, then it will be ).
A question goes as follows: "Let be the set of all sequences satisfying . Express as a cartesian product of subsets of the real numbers" I know in this instance that . But I'm confused as to how to put this into a cartesian product. I mean, is this correct: ? That's probably very wrong.
Thanks a lot in advance.
If you understand what was done above then good.
I understood that you were thinking of sequences as n-tuples.
But I was thinking of sequences as a set of ordered pairs.
And I was wondering if the two approaches are consistent with eachother.
But again ignore what I was wondering.