A sequence , , ... such that the metric satisfies
Cauchy sequences in the rationals do not necessarily converge, but they do converge in the reals.
Real numbers can be defined using either Dedekind cuts or Cauchy sequences.
A sequence , , ... such that the metric satisfies
Cauchy sequences in the rationals do not necessarily converge, but they do converge in the reals.
Real numbers can be defined using either Dedekind cuts or Cauchy sequences.
Weisstein, Eric W. "Cauchy Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CauchySequence.html