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MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Limits (Formal Definition)

I have completed a page on Limits (Formal Definition)

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

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

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Limits (Formal Definition)

Erm, there seems to be a slight mistake with

I think you mean

Yeah?

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

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?

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

Zhylliolom

Real Member

Registered: 2005-09-05

Posts: 412

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.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Limits (Formal Definition)

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

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