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Suppose that a sequence $\{x_k\}$ has a clusterpoint (or more..) $c\in\mathbb{R}$. what conclusion, if any, can be drawn about either $\liminf x_k$ or $\limsup x_k$ ?

I don't know the conclusion... I think that when the sequence has only one cluster point then $\liminf x_k= \limsup x_k = c$. But if the sequence has many cluster points, I can't draw conclusion about either $\liminf x_k$ or $\limsup x_k$.

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