(adsbygoogle = window.adsbygoogle || []).push({}); what does "All but finitely many n" mean?

Let [itex]\left(s_n\right)[/itex] be a convergent sequence.

If [itex]s_n\geq a[/itex] for all but finitely many n, then [itex]\lim s_n\geq a[/itex].

all n?(all the natural number? but natural number is infinite so why use "but finite"?)

Infinite?

Or finite?

What does it mean actually?

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# What does All but finitely many n mean?

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