# monotone sequence cluster points

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I need to prove the following;

Prove that a monotone sequence can have at most one cluster point.

Definition: A real number if x is called a cluster point of the sequence provided some subsequence of the sequence converges to x.

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A monotone sequence is assessed.

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Definition: A real number x is called a cluster point of the sequence provided some subsequence of the sequence converges to x.

Prove that a monotone sequence can have at most one cluster point. ...

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