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

do you have a calculus book around?

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

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

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

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

Anyway thanks

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

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

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

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

oh boy!!!