In: Advanced Math
Find sequences that satisfy the following or explain why no such sequence exists:
a) A sequence with subsequences converging to 1, 2, and 3.
b) A sequence that is bounded above, but has no convergent subsequence.
c) A sequence that has a convergent subsequence but is unbounded
(note: unbounded
means not bounded below or not bounded
above.
d) A sequence that is monotonic and bounded, but does not converge.