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Should this article be merged with Cauchy-Hadamard theorem? Michael Hardy (talk) 00:30, 3 August 2008 (UTC)Reply

I think not. Many readers will be looking for how to do a root test, and will not be interested in power series's generally. --editeur24 (talk) 17:12, 17 December 2020 (UTC)Reply

I know this is only a short article but the lead section should summarise the content of the whole article (obviously not in much detail) and not just "tease" the reader. Conversely the article shouldn't depend on the lead sections. See WP:LEAD. Both of these are violated in this article, so I'll try to shake it up a bit, though inevitably it will lead to some duplication. 137.73.127.101 (talk) 17:38, 15 February 2010 (UTC)Reply

Please do a few examples and work them out such as what do Σ_k (k^m)a_kz^k, or Σ_k a_kz^3k, or Σ_k (a_k)²z^k converge to and or what is the radius of their convergence for k going from 0 to infinity. —Preceding unsigned comment added by 128.100.194.208 (talk) 15:55, 4 October 2010 (UTC)Reply

I added an Examples section and one example. I might return and put in more examples; other editors are invited to do so. This is important-- a lot of readers will be looking for how to make use of the root test, and examples are good for that. The best examples would show situations in which the root test is especially useful compared to other tests. --editeur24 (talk) 17:14, 17 December 2020 (UTC)Reply

Who is Terrence Tichaona Dobbie and why are they a reference for the limit superior? It was apparently added at 02:34, 12 August 2017. It seems like someone just adding their name or a friend's name. It should be removed. Zteitler (talk) 04:27, 25 February 2021 (UTC)Reply

In Example 1 of the Example section, the variable i is initially used, although it is replaced by n when applying the root test. I would suggest changing it to n, which is the letter used in the rest of the article, since i can be mistaken by the square root of -1. — Preceding unsigned comment added by 2001:818:EB7B:1900:28ED:6B5C:2F45:CF6 (talk) 18:58, 3 December 2021 (UTC)Reply