Definition:Null Sequence/Normed Division Ring

Definition
Let $\struct {R, \norm{\,\cdot\,}}$ be a Normed division ring with zero $0_R$.

Let $\sequence{x_n}$ be a sequence in $R$ which converges to the limit $0_R$:


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

Then $\sequence{x_n}$ is called a null sequence.