# convergent

## English

convergent (comparative more convergent, superlative most convergent)

1. That converges or focuses
2. (analysis) A sequence $x_n$ in a metric space with metric d is convergent to a point $x^*$, denoted as $x_n \rightarrow x^*$, if for every $\epsilon > 0$ there is a natural number N such that for every $k \ge N$ : $d(x_k, x^*) < \epsilon$.

### Noun

Wikipedia convergent (plural convergents)

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

## French

### Pronunciation

• IPA: /kɔ̃.vɛʁʒ/

### Verb

convergent

1. third-person plural present indicative of converger
2. third-person plural present subjunctive of converger

## Latin

### Verb

convergent

1. third-person plural future active indicative of convergō