# Category:Definitions/Limits of Sequences

This category contains definitions related to Limits of Sequences.
Related results can be found in Category:Limits of Sequences.

### Real Numbers

Let $\sequence {x_n}$ be a sequence in $\R$.

Let $\sequence {x_n}$ converge to a value $l \in \R$.

Then $l$ is a limit of $\sequence {x_n}$ as $n$ tends to infinity.

### Rational Numbers

Let $\sequence {x_n}$ be a sequence in $\Q$.

Let $\sequence {x_n}$ converge to a value $l \in \R$, where $\R$ denotes the set of real numbers.

Then $l$ is a limit of $\sequence {x_n}$ as $n$ tends to infinity.

### Complex Numbers

Let $\sequence {z_n}$ be a sequence in $\C$.

Let $\sequence {z_n}$ converge to a value $l \in \C$.

Then $l$ is a limit of $\sequence {z_n}$ as $n$ tends to infinity.

## Pages in category "Definitions/Limits of Sequences"

The following 15 pages are in this category, out of 15 total.