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Find sequences that satisfy the following or explain why no such sequence exists: a) A sequence with...

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Advance Math

Find sequences that satisfy the following or explain why no suchsequence exists:

a) A sequence with subsequences converging to 1, 2, and 3.

b) A sequence that is bounded above, but has no convergentsubsequence.

c) A sequence that has a convergent subsequence but is unbounded(note: unbounded
means not bounded below or not boundedabove.

d) A sequence that is monotonic and bounded, but does notconverge.

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