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**Hannibal lecter****Member**- Registered: 2016-02-11
- Posts: 156
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Hi,

I didn`t understand that first explanation about limits :

and that`s from that link below :

http://www.intmath.com/differentiation/1-limits-and-differentiation.php

But there are cases where we cannot simply substitute like this.

please help, I`m very Beginner...

*Last edited by Hannibal lecter (2016-04-12 05:59:07)*

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

I can not see your latex, please check it now.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Hannibal lecter****Member**- Registered: 2016-02-11
- Posts: 156
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yes..,,,, I Edited and fix the example ...

Wisdom is a tree which grows in the heart and fruits on the tongue

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

If you are wondering where you can not just simply substitute... here is an example.

If you substitute x = 0 you would have a zero in the denominator and therefore be dividing by 0 which is not allowed.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Hannibal lecter****Member**- Registered: 2016-02-11
- Posts: 156
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I have not explained my question properly,

I just want to know what is limit.!

I can`t understnad what is it

and I know I can`t put 0 in that example

But what is the relationship about that and limit?

does the limit mean : x approaches to a value...

y approaches to a value ... etc

and ... what is continuous function.?

*Last edited by Hannibal lecter (2016-04-13 09:35:05)*

Wisdom is a tree which grows in the heart and fruits on the tongue

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

does the limit mean : x approaches to a value...

I like to think of it as x approaches and gets closer and closer. Lots of times you can do numerical experiments to get a feeling for this process. http://www.mathsisfun.com/calculus/limits.html

and ... what is continuous function.?

This is a good and easy to understand explanation,

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

As x tends to 1 and not equal to 1, you can cancel factor x-1 from both numerator and denominator and then put x=1 to get the limit.

*Last edited by thickhead (2016-04-24 18:49:21)*

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