Convergence tests: Revision history

11 September 2024

• curprev 08:2108:21, 11 September 2024‎ Tquann talk contribs‎ 13,241 bytes −41‎ →‎Alternating series test undo Tags: Mobile edit Mobile web edit
• curprev 08:1408:14, 11 September 2024‎ Tquann talk contribs‎ 13,282 bytes +2‎ →‎Ratio test undo Tags: Mobile edit Mobile web edit
• curprev 08:1108:11, 11 September 2024‎ 14.191.142.38 talk‎ 13,280 bytes +86‎ →‎Ratio test undo Tags: Mobile edit Mobile web edit

30 March 2024

• curprev 22:0922:09, 30 March 2024‎ Arjayay talk contribs‎ m 13,194 bytes −2‎ stray word removed undo
• curprev 20:0220:02, 30 March 2024‎ Joest talk contribs‎ 13,196 bytes +647‎ →‎Abu-Mostafa's test undo

19 September 2023

• curprev 18:2018:20, 19 September 2023‎ Anoop iic talk contribs‎ 12,549 bytes −56‎ →‎Limit comparison test: Updated to include series convergence condition too. Text is same as the one already present in linked source at: https://en.wikipedia.org/wiki/Limit_comparison_test undo Tag: Visual edit

3 February 2023

• curprev 22:5922:59, 3 February 2023‎ The-erinaceous-one talk contribs‎ m 12,605 bytes −130‎ Remove link that has been broken since 2009 undo

25 November 2022

• curprev 09:3509:35, 25 November 2022‎ 150.254.77.57 talk‎ 12,735 bytes 0‎ →‎Alternating series test undo

18 November 2022

• curprev 02:4202:42, 18 November 2022‎ LightbulbMEOW talk contribs‎ 12,735 bytes +1,272‎ →‎List of tests: Copied Cauchy's convergence test, Stolz-Cesaro, Weierstrass M from their respective article pages undo

31 October 2022

• curprev 23:4623:46, 31 October 2022‎ LightbulbMEOW talk contribs‎ 11,463 bytes +343‎ Include the case L = ∞ for completeness, and add new group "Extensions to Ratio test" undo

30 October 2022

• curprev 11:2811:28, 30 October 2022‎ LightbulbMEOW talk contribs‎ 11,120 bytes +4‎ →‎Cauchy condensation test: non-negative undo
• curprev 08:2908:29, 30 October 2022‎ LightbulbMEOW talk contribs‎ 11,116 bytes +11‎ →‎Root test: absolutely undo

12 October 2022

• curprev 08:5608:56, 12 October 2022‎ 5.14.146.176 talk‎ 11,105 bytes +15‎ A mark for removal, the link isn't accessible. undo Tags: Visual edit Mobile edit Mobile web edit

15 September 2022

• curprev 13:5613:56, 15 September 2022‎ BartWolleswinkel talk contribs‎ 11,090 bytes −158‎ →‎Root test: Removed the false claim that "For example, for the series 1 + 1 + 0.5 + 0.5 + 0.25 + 0.25 + 0.125 + 0.125 + ... = 4, convergence follows from the root test but not from the ratio test." It can be easily shown that the infinite series mentioned is \sum_{n=0}^{\infty} \frac{2}{2*{n}}, for which the ration test clear concludes r = 1/2. undo Tag: Visual edit

10 September 2022

• curprev 12:2412:24, 10 September 2022‎ 2600:1700:291:6f00:ad3e:2672:47be:682a talk‎ 11,248 bytes −38‎ →‎Root test: remove citation request undo

1 August 2022

• curprev 19:0019:00, 1 August 2022‎ JayBeeEll talk contribs‎ 11,286 bytes −25‎ →‎p-series test: this is the main treatment of this topic; Harmonic series no longer mentions this explicitly undo

8 July 2022

• curprev 16:1416:14, 8 July 2022‎ Qaanol talk contribs‎ m 11,311 bytes −2‎ →‎Gauss's test: Fixed another broken link undo
• curprev 16:1316:13, 8 July 2022‎ Qaanol talk contribs‎ m 11,313 bytes −2‎ →‎Bertrand's test: Fixed broken link undo

11 April 2022

• curprev 18:1618:16, 11 April 2022‎ Jonesey95 talk contribs‎ 11,315 bytes −4‎ Fix Linter errors. undo

5 March 2022

• curprev 10:0710:07, 5 March 2022‎ Chewings72 talk contribs‎ m 11,319 bytes +78‎ Adding local short description: "Mathematical criterion about whether a series converges", overriding Wikidata description "mathematical criterion about whether a series converges or not" (Shortdesc helper) undo

21 November 2021

• curprev 20:5020:50, 21 November 2021‎ JCW-CleanerBot talk contribs‎ m 11,241 bytes −6‎ task, replaced: Journal für die reine und angewandte Mathematik (Crelles Journal) → Journal für die reine und angewandte Mathematik undo Tag: AWB

10 November 2021

• curprev 14:3614:36, 10 November 2021‎ 128.187.116.18 talk‎ 11,247 bytes +57‎ →‎Limit of the summand: added two more names for the test undo Tag: Visual edit

8 November 2021

• curprev 06:3306:33, 8 November 2021‎ 97.109.186.93 talk‎ 11,190 bytes 0‎ →‎Gauss's test: Corrected sign error in Gauss' test (cf. https://en.m.wikipedia.org/wiki/Ratio_test#5._Gauss%E2%80%99s_test) so that convergence properly implies a(n+1) < a(n). undo Tags: Manual revert Mobile edit Mobile web edit

29 October 2021

• curprev 03:5803:58, 29 October 2021‎ 117.251.30.84 talk‎ 11,190 bytes 0‎ -\alpha is used in the cited reference and elsewhere. And also it does not seem equivalent to use +\alpha instead. undo Tag: Reverted

22 October 2021

• curprev 15:3215:32, 22 October 2021‎ JayBeeEll talk contribs‎ 11,190 bytes −24‎ →‎Alternating series test: simplify undo
• curprev 15:3015:30, 22 October 2021‎ JayBeeEll talk contribs‎ 11,214 bytes −218‎ Undid revision 1029714158 by Hpecora1 (talk) this is definitely citable and putting your own OR explanation in instead of a citation is bad practice undo Tag: Undo
• curprev 12:2612:26, 22 October 2021‎ 2a02:120b:2c1c:8eb0:8127:dbe5:3c81:a341 talk‎ 11,432 bytes +59‎ →‎Alternating series test: Added a missing assumption undo Tags: Mobile edit Mobile web edit

13 August 2021

• curprev 02:4002:40, 13 August 2021‎ Dazzling4 talk contribs‎ 11,373 bytes +4‎ →‎Alternating series test: - Fixing an inaccuracy - only the absolute values of each element need to be monotonically decreasing. undo

3 July 2021

• curprev 17:0517:05, 3 July 2021‎ Citation bot talk contribs‎ 11,369 bytes +20‎ Alter: url, pages. URLs might have been anonymized. Add: jstor, s2cid. | Use this bot. Report bugs. | Suggested by AManWithNoPlan | #UCB_toolbar undo

1 July 2021

• curprev 20:2120:21, 1 July 2021‎ Saung Tadashi talk contribs‎ 11,349 bytes +1,454‎ →‎List of tests undo Tag: Visual edit

21 June 2021

• curprev 15:4915:49, 21 June 2021‎ Hpecora1 talk contribs‎ 9,895 bytes +218‎ Added information on root v ratio test example for a “citation needed”. No citation. Just wrote in an explanation. Unlikely to find a reference for this. undo Tags: Reverted Mobile edit Mobile app edit iOS app edit

8 April 2021

• curprev 20:1020:10, 8 April 2021‎ 172.126.16.173 talk‎ 9,677 bytes +2‎ Fixed markup →‎Limit of the summand undo
• curprev 20:1020:10, 8 April 2021‎ 172.126.16.173 talk‎ 9,675 bytes +45‎ →‎Limit of the summand undo

12 March 2021

• curprev 16:3916:39, 12 March 2021‎ Hellacioussatyr talk contribs‎ 9,630 bytes +128‎ →‎Examples: Equations linkable undo Tags: Mobile edit Mobile web edit Advanced mobile edit

7 March 2021

• curprev 21:4521:45, 7 March 2021‎ 2603:8000:1103:3d34:9863:6d4d:560a:e97e talk‎ 9,502 bytes −1‎ typo undo

6 February 2021

• curprev 06:2306:23, 6 February 2021‎ IbexNu talk contribs‎ 9,503 bytes +14‎ →‎p-series test undo Tags: Mobile edit Mobile web edit Advanced mobile edit

5 February 2021

• curprev 22:4422:44, 5 February 2021‎ IbexNu talk contribs‎ 9,489 bytes +592‎ →‎Integral test: - added subsection on p-series undo Tag: 2017 wikitext editor

27 December 2020

• curprev 16:0816:08, 27 December 2020‎ 103.115.195.84 talk‎ 8,897 bytes +11‎ →‎Ratio test undo

26 December 2020

• curprev 17:3217:32, 26 December 2020‎ AnomieBOT talk contribs‎ m 8,886 bytes +19‎ Dating maintenance tags: {{Cn}} undo
• curprev 17:1217:12, 26 December 2020‎ JayBeeEll talk contribs‎ m 8,867 bytes +10‎ →‎Alternating series test undo
• curprev 17:1017:10, 26 December 2020‎ JayBeeEll talk contribs‎ m 8,857 bytes +6‎ →‎Root test undo

23 December 2020

• curprev 17:1317:13, 23 December 2020‎ Monkbot talk contribs‎ m 8,851 bytes −10‎ Task 18 (cosmetic): eval 4 templates: del empty params (1×); hyphenate params (1×); undo Tag: AWB

18 December 2020

• curprev 20:0120:01, 18 December 2020‎ JayBeeEll talk contribs‎ m 8,861 bytes −21‎ →‎Integral test: pointless indentation, pointless piping undo
• curprev 19:4319:43, 18 December 2020‎ JayBeeEll talk contribs‎ 8,882 bytes −1,832‎ Reverted 7 edits by Editeur24 (talk): All of these examples have errors (the universal one being the confusion of a series and the associated sequence of summands), but more broadly I question the value of examples in an article like this -- every section is a direction to the associated main article undo Tags: Twinkle Undo
• curprev 16:0716:07, 18 December 2020‎ Editeur24 talk contribs‎ m 10,714 bytes +30‎ →‎Direct comparison test undo Tag: Reverted
• curprev 05:0705:07, 18 December 2020‎ Editeur24 talk contribs‎ m 10,684 bytes +23‎ →‎See also undo Tag: Reverted
• curprev 04:5804:58, 18 December 2020‎ Editeur24 talk contribs‎ 10,661 bytes +514‎ →‎Direct comparison test: I added an example. undo Tag: Reverted
• curprev 04:5704:57, 18 December 2020‎ Editeur24 talk contribs‎ 10,147 bytes +450‎ →‎Integral test: Added an example of the integral test in use. undo Tag: Reverted
• curprev 04:5304:53, 18 December 2020‎ Editeur24 talk contribs‎ 9,697 bytes +281‎ →‎Ratio test: Added a simple example. undo Tag: Reverted

16 December 2020

• curprev 20:5720:57, 16 December 2020‎ Editeur24 talk contribs‎ 9,416 bytes +37‎ →‎Root test: Slight clarification in the footnote. undo Tag: Reverted