Definition:Subsequential Limit

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Definition

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

Let $\sequence {x_{n_r} }$ be a subsequence of $\sequence {x_n}$.

Suppose that $\sequence {x_{n_r} }$ converges to a limit $x$.


Then $x$ is called a subsequential limit of $\sequence {x_n}$.


Also see


Sources