Question: true or false questions: Any increasing sequence bounded above by 2 converges. Any increasing sequence bounded above by 2 converges to 2. Any non-increasing sequence

true or false questions:

Any increasing sequence bounded above by 2 converges.

Any increasing sequence bounded above by 2 converges to 2.

Any non-increasing sequence bounded above by 2 converges.

Any bounded sequence has a Cauchy subsequence.

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