Talk:Squeeze Theorem for Absolutely Convergent Series

Huh?!? The only way $-\sum \size {a_n} = \sum \size {a_n}$ is for $\sum \size {a_n} = 0$ and the result is then pointlessly trivial. --prime mover 17:23, 10 February 2012 (EST)


 * This is not what I intended. I meant something like:


 * $\ds \lim_{n \mathop \to \infty} a_n = 0 \land \forall n: -\size {a_n} \le b_n \le \size {a_n} \implies \lim_{n \mathop \to \infty} b_n = 0$


 * which is slightly less trivial. --Lord_Farin 18:10, 10 February 2012 (EST)

You're right, not sure how you'd go about recovering this. The only sequence that satisfies the hypotheses is the zero sequence in which case it's trivial. Caliburn (talk) 19:59, 6 August 2021 (UTC)