# Convergent definition

*d*is convergent to a point , denoted as , if for every there is a natural number

*N*such that for every : .

(analysis) A sequence in a metric space with metric *d* is convergent to a point , denoted as , if for every there is a natural number *N* such that for every : .

adjective

(mathematics) The rational number obtained when a continued fraction has been terminated after a finite number of terms.

noun

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Singular:

convergent
Plural:

convergents