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2bornot2b
 3 years ago
What are Cauchy’s first and second limit theorems?
2bornot2b
 3 years ago
What are Cauchy’s first and second limit theorems?

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KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1This paper seems to talk about them. It might take some time to read through, but it mentions the first and second theorems due to Cauchy, and provides analogues. http://plms.oxfordjournals.org/content/s25/1/206.full.pdf

precal
 3 years ago
Best ResponseYou've already chosen the best response.2@KingGeorge I saw that one but it looked to technical, I posted a more historical explanation...... Oh Cauchy... the nightmares of my graduate program

2bornot2b
 3 years ago
Best ResponseYou've already chosen the best response.0@precal Can you please specify the theorems, I just can't find it in that long document of yours. And @KingGeorge you page is not opening for me, if you could post the theorems here, it would help a lot.

precal
 3 years ago
Best ResponseYou've already chosen the best response.2do you have a calculus book around?

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1I'll just attach the file. It's a real pain to write out.

2bornot2b
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, I have but they are not specifying either. I mean there are several theorems, but which one is called the ................ I don't understand

precal
 3 years ago
Best ResponseYou've already chosen the best response.2I found one reference but it is known as the mean value theorem

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1It is a very technical paper, but it does mention "two wellknown theorems" that were made by Cauchy.

2bornot2b
 3 years ago
Best ResponseYou've already chosen the best response.0Mean value theorem is not the same as cauchy's theorems are they?

precal
 3 years ago
Best ResponseYou've already chosen the best response.2According to my calculus book, it states that the Genealized (or Cauchy's) Mean Value Theorem...... yes, it looks like it

precal
 3 years ago
Best ResponseYou've already chosen the best response.2Cauchy did a lot of work in calculus.........like I said, "Nightmares of my graduate program"

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1The mean value theorem doesn't really have to do with limits very much though... It doesn't seem like a "limit theorem" at least.

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1If you look through the thing I posted, Thm. 1 is on the second page, Thm. 2 is on the 8th page.

precal
 3 years ago
Best ResponseYou've already chosen the best response.2what derivatives don't have anything to do with limits??????? Let's see we teach limits first because they lead to derivatives, then we go to integration . Sorry to tell you, they are all related. A big spider web.

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1They're definitely related, but I would hardly call it a limit theorem.

precal
 3 years ago
Best ResponseYou've already chosen the best response.2ok I agree. You are right, they are listed there. I hope the asker can understand all of that :)

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1It certainly doesn't help that the paper is 106 years old :/
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