Definition:Limit of Sequence

Standard Number Fields
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 $\C$:

Also see

 * Definition:Limit of Sets for an extension of this concept into the field of measure theory.


 * Definition:Limit of Mapping