Talk:Stolz–Cesàro theorem

Cross-referencing with l'Hopital's rule

This should be cross-referenced with l'Hopital's rule, because they are similar in flavour. It is natural to think about a' for sequences as a'_n=a_{n+1}-a_n / 1.

Done (20/12/07), with a French translation F3et (talk) 08:24, 26 December 2007 (UTC)

0/0 case

Does this theorem (or a related one) cover the 0/0 case, in analogy with l'Hôpital's rule? It would be appropriate to include such in the article if this is the case. — Quondum^☏✎ 06:49, 25 February 2012 (UTC)

The proof on the link is incorrect https://planetmath.org/ProofOfStolzCesaroTheorem

First, there is an obvious typo in second sum (i + 1, not n + 1 and i not n). Second, you cannot just use "This means that there is some K such that for k ≥ K we have ", this is incorrect. 2A00:1FA0:466A:A167:519C:7916:DE2B:F47 (talk) 17:57, 17 May 2020 (UTC)

Thank you for bringing your feedback here instead of inserting it into the article. Feel free to be bold and make the corrections yourself. Hillelfrei ^talk 18:00, 17 May 2020 (UTC)

I will copypaste it then and correct it/translate from our wikipedia. 2A00:1FA0:466A:A167:519C:7916:DE2B:F47 (talk) 18:05, 17 May 2020 (UTC)

Merge with L'Hopitals Rule/Generalizations

Seeing as this article is an extension of L'Hopitals Rule and is quite minor, this article should be merged with L'Hopitals Rule. — Preceding unsigned comment added by 173.206.33.141 (talk) 02:34, 31 August 2020 (UTC)

No, it is much more important. Unfortunately the article does not have a proof. See previous. 213.87.159.145 (talk) 07:36, 13 October 2020 (UTC)

Much change since 2016?

Pretty interesting. Look how much this page changed in 6.5 years. What's up with that?

https://en.wikipedia.org/w/index.php?title=Stolz%E2%80%93Ces%C3%A0ro_theorem&oldid=712150828

It's really great. I wish had this version back in 2016. Why do you think not much was said before? Why is there a lot to say now? Is it just because of more participants on Wikipedia? Or has there been some recent developments that made Stolz–Cesàro more popular? Thewriter006 (talk) 20:14, 2 November 2022 (UTC)

Is there Cesàro's Lemma's somewhere here?

It's equivalent to Stolz–Cesàro

https://math.stackexchange.com/questions/1814976/relationship-between-ces%c3%a0ros-lemma-and-stolz-ces%c3%a0ro-theorem

Maybe the arithmetic mean part? idk. https://en.wikipedia.org/wiki/Stolz%E2%80%93Ces%C3%A0ro_theorem#Arithmetic_mean Thewriter006 (talk) 20:23, 2 November 2022 (UTC)