Let  { 𝑎 𝑛 } 𝑛 = 0 ∞  be a POSITIVE sequence.  Which of the following statements must be true? Select all the correct answers. 多项选择题

A

IF the sequence is bounded, THEN it is eventually monotonic.

B

IF the sequence is convergent, THEN it is bounded.

C

IF the sequence is bounded above, THEN it is convergent.

D

IF the sequence is non-decreasing, THEN it is convergent.

E

IF the sequence is non-increasing, THEN it is convergent.

F

IF the sequence is not bounded, THEN it is divergent.

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