Cauchy-continuous function
= Cauchy-continuous function
{wiki=Cauchy-continuous_function}
A function \\( f: A \\rightarrow B \\) (where \\( A \\) and \\( B \\) are subsets of metric spaces) is said to be **Cauchy-continuous** at a point \\( x_0 \\in A \\) if for every sequence of points \\( (x_n) \\) in \\( A \\) that converges to \\( x_0 \\) (meaning that \\( x_n \\to x_0 \\) as \\( n \\) approaches infinity