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!