2bornot2b
  • 2bornot2b
What are Cauchy’s first and second limit theorems?
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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precal
  • precal
http://www.saintjoe.edu/~karend/m441/Cauchy.html
KingGeorge
  • KingGeorge
This 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/s2-5/1/206.full.pdf
precal
  • precal
@KingGeorge I saw that one but it looked to technical, I posted a more historical explanation...... Oh Cauchy... the nightmares of my graduate program

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2bornot2b
  • 2bornot2b
@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
  • precal
do you have a calculus book around?
KingGeorge
  • KingGeorge
I'll just attach the file. It's a real pain to write out.
2bornot2b
  • 2bornot2b
Yes, 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
  • precal
I found one reference but it is known as the mean value theorem
KingGeorge
  • KingGeorge
It is a very technical paper, but it does mention "two well-known theorems" that were made by Cauchy.
2bornot2b
  • 2bornot2b
Mean value theorem is not the same as cauchy's theorems are they?
precal
  • precal
According to my calculus book, it states that the Genealized (or Cauchy's) Mean Value Theorem...... yes, it looks like it
precal
  • precal
Cauchy did a lot of work in calculus.........like I said, "Nightmares of my graduate program"
KingGeorge
  • KingGeorge
The mean value theorem doesn't really have to do with limits very much though... It doesn't seem like a "limit theorem" at least.
2bornot2b
  • 2bornot2b
Anyway thanks
KingGeorge
  • KingGeorge
If you look through the thing I posted, Thm. 1 is on the second page, Thm. 2 is on the 8th page.
precal
  • precal
what 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
  • KingGeorge
They're definitely related, but I would hardly call it a limit theorem.
precal
  • precal
ok I agree. You are right, they are listed there. I hope the asker can understand all of that :)
KingGeorge
  • KingGeorge
It certainly doesn't help that the paper is 106 years old :/
precal
  • precal
oh boy!!!

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