• 343 Cauchy sequence
ᐥA sequence ｢aₙ｣ is a Cauchy sequence if and only if for every ε>0 there exists a natural number N such that n,m>N ⇒ |a⸤n⸥−a⸤m⸥|<ε. A sequence is convergent if and only if the sequence is a Cauchy sequence.ᐥ If ｢a⸤n⸥｣ is a convergent sequence, then for a ...
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