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