CONVERGENT

convergent

Noun

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

Adjective

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


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