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#1 2016-04-11 05:09:45

Hannibal lecter
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Registered: 2016-02-11
Posts: 144
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Limits and Differentiation... introduction

Hi,

I didn`t understand that first  explanation about limits :

146039265849791.png


and that`s from that link below :

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

146048213464471.png

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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#2 2016-04-12 05:51:55

bobbym
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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.


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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#3 2016-04-12 06:00:21

Hannibal lecter
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Registered: 2016-02-11
Posts: 144
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Re: Limits and Differentiation... introduction

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


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#4 2016-04-12 06:28:10

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.


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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#5 2016-04-13 09:34:29

Hannibal lecter
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Registered: 2016-02-11
Posts: 144
Website

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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#6 2016-04-13 09:44:17

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


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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#7 2016-04-23 19:57:39

thickhead
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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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