Definition:Null Sequence

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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 $0$ :

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

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

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Categories: Definitions/Analysis | Definitions/Complex Analysis

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