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In the section for several variables, the lines expanding
divide all terms of the form
by the same .
Is that correct? For example, shouldn't terms of the form where be divided by instead of ?
D4nn0v ( talk) 04:56, 1 August 2021 (UTC)
I just looked at this article with the edge browser and the x^4 and x^5 powers looked weird in the first version of the Maclaurin series for the exponential function, the one with factorials. They look fine in chrome! must be a bug of some sort? — Preceding unsigned comment added by 2a01:388:2ec:150::1:12 ( talk) 13:25, 28 September 2021 (UTC)
Please fix the "Examples" section to make sense. For example, 1st example is about the "MacLaurin series". I'm here to learn about the Taylor series. I see MacLaurin mentioned in 2nd paragraph but I wasn't sure what "about zero" means. Maybe if the example section had a Taylor series example... 4th line says "so the Taylor series..." What does it mean by "so". How does that so obviously follow from the MacLaurin example? I can't see the connection. 6th line says "By integrating the above Maclaurin series" What? You just called it a Taylor series. Why are you integrating it? That's not even what I get when I integrate it. And so on. I would like to see some examples in the "examples" section. Ywaz ( talk) 00:43, 14 October 2021 (UTC)
I am also having trouble understanding this section. Right at the beginning, it says:
I am having trouble understanding everything after "So, by substituting..." Why? Why are we substituting x for 1-x? How does this follow from the first Maclaurin series? It seems to have jumped past some explanation of what is being discussed. Wikinetman ( talk) 18:46, 16 February 2024 (UTC)
User:JayBeeEll thinks that the lead sentence should define Taylor series as "infinite sums" rather than power series so as to avoid jargon. However:
Thus I would like to revert the last edit. -- L'âne onyme ( talk) 20:47, 27 October 2021 (UTC)
At this time, the "examples" section says:
"So, by substituting x for 1 − x, the Taylor series of 1/x at a = 1 is
By integrating the above Maclaurin series, we find the Maclaurin series of ln(1 − x), where..."
The example identifies a = 1 for the Taylor series, but then calls it a Maclaurin series, which should require a = 0. In other words, "by integrating the above Maclaurin series" is not correct, the equation above is a Taylor series, not a Maclaurin series. Therefore, I suggest this be edited to:
"By integrating the above Taylor series, we find the Maclaurin series of ln(1 − x), where..."
I humbly present this concern recognizing I could be mistaken! — Preceding unsigned comment added by Caireau ( talk • contribs) 10:50, 16 July 2024 (UTC)
![]() | This ![]() It is of interest to the following WikiProjects: | ||||||||||
|
![]() | Taylor series has been listed as one of the Mathematics good articles under the good article criteria. If you can improve it further, please do so. If it no longer meets these criteria, you can reassess it. | |||||||||
|
![]() |
Daily pageviews of this article
A graph should have been displayed here but
graphs are temporarily disabled. Until they are enabled again, visit the interactive graph at
pageviews.wmcloud.org |
This page has archives. Sections older than 365 days may be automatically archived by Lowercase sigmabot III when more than 5 sections are present. |
In the section for several variables, the lines expanding
divide all terms of the form
by the same .
Is that correct? For example, shouldn't terms of the form where be divided by instead of ?
D4nn0v ( talk) 04:56, 1 August 2021 (UTC)
I just looked at this article with the edge browser and the x^4 and x^5 powers looked weird in the first version of the Maclaurin series for the exponential function, the one with factorials. They look fine in chrome! must be a bug of some sort? — Preceding unsigned comment added by 2a01:388:2ec:150::1:12 ( talk) 13:25, 28 September 2021 (UTC)
Please fix the "Examples" section to make sense. For example, 1st example is about the "MacLaurin series". I'm here to learn about the Taylor series. I see MacLaurin mentioned in 2nd paragraph but I wasn't sure what "about zero" means. Maybe if the example section had a Taylor series example... 4th line says "so the Taylor series..." What does it mean by "so". How does that so obviously follow from the MacLaurin example? I can't see the connection. 6th line says "By integrating the above Maclaurin series" What? You just called it a Taylor series. Why are you integrating it? That's not even what I get when I integrate it. And so on. I would like to see some examples in the "examples" section. Ywaz ( talk) 00:43, 14 October 2021 (UTC)
I am also having trouble understanding this section. Right at the beginning, it says:
I am having trouble understanding everything after "So, by substituting..." Why? Why are we substituting x for 1-x? How does this follow from the first Maclaurin series? It seems to have jumped past some explanation of what is being discussed. Wikinetman ( talk) 18:46, 16 February 2024 (UTC)
User:JayBeeEll thinks that the lead sentence should define Taylor series as "infinite sums" rather than power series so as to avoid jargon. However:
Thus I would like to revert the last edit. -- L'âne onyme ( talk) 20:47, 27 October 2021 (UTC)
At this time, the "examples" section says:
"So, by substituting x for 1 − x, the Taylor series of 1/x at a = 1 is
By integrating the above Maclaurin series, we find the Maclaurin series of ln(1 − x), where..."
The example identifies a = 1 for the Taylor series, but then calls it a Maclaurin series, which should require a = 0. In other words, "by integrating the above Maclaurin series" is not correct, the equation above is a Taylor series, not a Maclaurin series. Therefore, I suggest this be edited to:
"By integrating the above Taylor series, we find the Maclaurin series of ln(1 − x), where..."
I humbly present this concern recognizing I could be mistaken! — Preceding unsigned comment added by Caireau ( talk • contribs) 10:50, 16 July 2024 (UTC)