Hello evry body let be $(u_{n}) \in \mathbb{C}^{\matbb{N}}$(adsbygoogle = window.adsbygoogle || []).push({});

with $u_{n}^{2} \rightarrow 1$ and $\forall n \in \mathbb{N} (u_{n+1) - u_{n}) < 1$.

Why does this sequences converge please?

Thank you in advance and have a nice afternoon.

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# Cauchy sequences or not

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