I know what infimum and supremum are but I would like a bit of help with some notations "Find the infimum and supremum (if they exist) of:
Now, this is where the notes we have begin and I don't know what it means when you have one [ bracket with a ) to close. So for the first one, is it just supremum = 3 and infimum = 1, or do the different brackets mean something special?
Here's my attempts:
1). 3, 1
2). none, 1
3). 2, -2
4). 1, 0
5). Should 0 be considered a natural number? I have not heard of a standard convention on this. Texts seem to go either way. This would change the result of this one and without knowing I don't know how to handle it.
* (As a side can anyone tell me the tex for the element of and natural, real, rational etc symbols?).