Either give an example, or write "DNE" to indicate that no such example exists - no proofs necessary. 1. A set that is bounded above but not below. 2. A subset of (1, 1) that contains a maximal element. 3. A set S R that is nonempty, bounded below, and such that inf(S) does not exist. 4. A set S R that is nonempty and bounded below such that inf(S) is not an element of S. 5. A sequence that converges to 1/2. 6. A sequence that does not converge. 7. A finite set with no maximal element.