Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

2bornot2b

  • 2 years ago

What are Cauchy’s first and second limit theorems?

  • This Question is Closed
  1. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    http://www.saintjoe.edu/~karend/m441/Cauchy.html

  2. KingGeorge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  3. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 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

  4. 2bornot2b
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 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.

  5. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    do you have a calculus book around?

  6. KingGeorge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'll just attach the file. It's a real pain to write out.

  7. 2bornot2b
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  8. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I found one reference but it is known as the mean value theorem

  9. KingGeorge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    It is a very technical paper, but it does mention "two well-known theorems" that were made by Cauchy.

  10. 2bornot2b
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Mean value theorem is not the same as cauchy's theorems are they?

  11. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    According to my calculus book, it states that the Genealized (or Cauchy's) Mean Value Theorem...... yes, it looks like it

  12. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Cauchy did a lot of work in calculus.........like I said, "Nightmares of my graduate program"

  13. KingGeorge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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.

  14. 2bornot2b
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Anyway thanks

  15. KingGeorge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If you look through the thing I posted, Thm. 1 is on the second page, Thm. 2 is on the 8th page.

  16. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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.

  17. KingGeorge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    They're definitely related, but I would hardly call it a limit theorem.

  18. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    ok I agree. You are right, they are listed there. I hope the asker can understand all of that :)

  19. KingGeorge
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    It certainly doesn't help that the paper is 106 years old :/

  20. precal
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    oh boy!!!

  21. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.