I attach a paper based in how to prove limits by definition, pretty nice.

Hope it helps.

Printable View

- Sep 4th 2008, 05:54 PMKrizalidFor those that never learned well the epsilon-delta proofs
I attach a paper based in how to prove limits by definition, pretty nice.

Hope it helps. - Sep 4th 2008, 06:30 PM11rdc11
Thanks both my teacher at the high school and university level for some reason never thought this was important and just went directly to limits and derivatives without teaching the proofs.

- Oct 2nd 2008, 04:46 PMKhaali91!!!
LOL THANK YOU! my teacher was unclear about this...

- Nov 30th 2008, 04:51 PMelizsimca
Never has it been more clear...thank you so much. Now the definition of a limit in 3-D makes so much more sense. You are a saint for posting this! SO useful!

- Feb 8th 2009, 11:00 PMkbzoon
jajaj Krizalid thank you very much, as always, excellent input. (Rofl)

- Feb 9th 2009, 01:34 AMNonCommAlg
here's something for practice: using $$\epsilon-\delta$$ method, directly prove that:

__calculus 1__: if $$p(x)$$ is a polynomial, then $$\lim_{x\to a}p(x)=p(a).$$

__calculus 2__: if $$p(x,y)$$ is a polynomial, then $$\lim_{(x,y) \to (a,b)}p(x,y)=p(a,b).$$ - Feb 23rd 2009, 05:03 PMmatheagle
Student's eye glaze over when I mention this.

Plus books are dropping it, so don't blame your professors.

All books are becoming more and more watered down.

Some schools don't even teach trig substitution and I see hyperbolics are disappearing too...

Zill's DE book used to have lots of problems with cosh and sinh and now it hardly has any.

That stuff is really handy in DE. - Aug 17th 2009, 02:41 PMCalculus26
If anyone is interested I have a few rigorous limit examples with animations on my web site for both epsilon-delta proofs and the epsilon-M proofs if you will for limits at infinity

Calculus 1

They are rougly in the middle of the page as I start with an intuitive approach leading up the roigorous definitions - Dec 19th 2009, 01:24 PMdrop10
I only began to understand Delta-Epsilon proofs well-past my BC calc days when I was taking an introductory proofs class. I think that most people going into or coming out of Calc just don't have proofs down enough yet to be able to whip one out.

- Jan 4th 2010, 08:59 AMTWiX
thank you (Hi)

- Apr 6th 2010, 07:01 PMxSquall
Thanks for this

- Jul 20th 2011, 07:42 AMSironRe: For those that never learnt well the epsilon-delta proofs
Nice! This paper is really good :).

- Jul 26th 2011, 11:47 AManonimnystefyRe: For those that never learnt well the epsilon-delta proofs
That is a very useful paper.It really makes stuff easier to understand.

- Nov 6th 2011, 03:38 PMcarlosgrahmRe: For those that never learnt well the epsilon-delta proofs
Wow thanks very useful

- Dec 20th 2011, 11:15 PMtlq123Re: For those that never learnt well the epsilon-delta proofs
thanks very much, it is very useful for me