Provide an example of a sequence with a given property:
(a) a sequence that has subsequences that converge to 1, 2, and 3.
(b) a sequence that has subsequences that converge to infinity and negative infinity.
(c) a sequence that has a strictly increasing subsequence, a strictly descreasing subsequence, and a constant subsequence.
(d) an unbounded sequence which has a convergent subsequence
(e) a sequence that has no convergent subsequence
Thanks for any help!