If we reverse the order of events in the definition of the limit of a sequence (left(a_{n}

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If we reverse the order of events in the definition of the limit of a sequence \(\left(a_{n}\right)\), we get

\[ \exists N \text { such that } \forall \varepsilon>0 \forall n \geq N,\left|a_{n}-a\right|<\varepsilon \text {. } \]

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