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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2007-03-27 10:46:01

MathsIsFun
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Limits (Formal Definition)

I have completed a page on Limits (Formal Definition)

I would value feedback (is it accurate? understandable?)


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#2 2007-03-27 11:14:12

JaneFairfax
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Re: Limits (Formal Definition)

Erm, there seems to be a slight mistake with



I think you mean



Yeah? smile


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#3 2007-03-27 12:06:00

MathsIsFun
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Re: Limits (Formal Definition)

Yeah, I said that wrong.

I was trying to explain why we need to add that δ must be greater than 0 ... how to express that nicely?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#4 2007-03-27 12:54:51

Zhylliolom
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Re: Limits (Formal Definition)

Just say under step 2 "there exists δ > 0!"

I would recommend changing step 1 right before it to "it is true for any ε > 0" so the reader knows ε is positive as well.

Then for step 3 Jane's recommendation would work.

 

#5 2007-03-28 10:26:28

MathsIsFun
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Re: Limits (Formal Definition)

Updated the page ... is it better/right ?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

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