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?