Definition:Null Sequence

Definition

Let $X$ be one of the standard number fields $\Q, \R, \C$.

Let $\left \langle {x_n} \right \rangle$ be a sequence in $X$ which converges to a limit of $0$:

$\displaystyle \lim_{n \to \infty} x_n = 0$

Then $\left \langle {x_n} \right \rangle$ is called a null sequence.