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Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Limits and Differentiation... introduction

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Limits and Differentiation... introduction

Hi;

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

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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.

Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Re: Limits and Differentiation... introduction

yes..,,,, I Edited and fix the example ...

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Limits and Differentiation... introduction

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.

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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.

Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Re: Limits and Differentiation... introduction

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)

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Limits and Differentiation... introduction

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,

http://www.mathsisfun.com/calculus/continuity.html

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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.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Limits and Differentiation... introduction

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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