Interactive Real Analysis3.2. Cauchy Sequences
Definition 3.2.1: Cauchy Sequence
Let 
be a sequence
of real (or complex) numbers. We say that the sequence satisfies the
Cauchy criterion (or simply is Cauchy) if for each
> 0 there is an integer
N > 0 such that if j, k > N then
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be a sequence
of real (or complex) numbers. We say that the sequence satisfies the
Cauchy criterion (or simply is Cauchy) if for each
> 0 there is an integer
N > 0 such that if j, k > N then
| aj - ak | <
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