Definition:Limit of Sequence (Number Field)

Definition
As:
 * The set of rational numbers $$\Q$$ under the usual metric forms a metric space;
 * The real number line $$\R$$ under the usual metric forms a metric space;
 * The complex plane $$\C$$ under the usual metric forms a metric space;

the definition of the limit of a sequence in a metric space holds for sequences in the standard number fields $$\Q$$, $$\R$$ and $$\C$$.