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Proposition 2.4.1. Let $(s_n)$ and $(t_n)$ be sequences of real numbers. (a) Then $s_n \to \pm \infty$ as $n \to \infty$ if and only if $s_{n_j} \to \pm \infty$ as $j \to \infty$ where $(s_{n_j})$ is any subsequence of $(s_n)$.

Name: proposition 241 let sn and tn be sequences of real numbers a then sn to pm infty as n to infty if and only if snj to pm infty as j to infty where snj is any subsequence of sn 67362
Uploaded: 2023-10-01T11:04:30-08:00
Duration: 4 min 34 s
Channel: Adi S
Description: proposition 241 let sn and tn be sequences of real numbers a then sn to pm infty as n to infty if and only if snj to pm infty as j to infty where snj is any subsequence of sn 67362

          Proposition 2.4.1. Let $(s_n)$ and $(t_n)$ be sequences of real numbers.
(a) Then $s_n \to \pm \infty$ as $n \to \infty$ if and only if $s_{n_j} \to \pm \infty$ as $j \to \infty$ where $(s_{n_j})$ is any subsequence of $(s_n)$.

proposition 241 let sn and tn be sequences of real numbers a then sn to pm infty as n to infty if and only if snj to pm infty as j to infty where snj is any subsequence of sn 67362

Added by Gary G.

Calculus: Early Transcendentals

James Stewart 8th Edition

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10/01/2023

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Proposition 2.4.1. Let $(s_n)$ and $(t_n)$ be sequences of real numbers. (a) Then $s_n \to \pm \infty$ as $n \to \infty$ if and only if $s_{n_j} \to \pm \infty$ as $j \to \infty$ where $(s_{n_j})$ is any subsequence of $(s_n)$.