Cauchy Sequence

A sequence of real numbers x₁, x₂, x₃, ... is a Cauchy Sequence if for any given positive real number, ε, there exists a positive integer, N, such that for all natural numbers m,n>N,

|x_m - x_n| < ε

Internet references

Wikipedia: Cauchy sequence 

Related pages in this website

Calculus Theorems -- important facts about continuous functions

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