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#476 2012-02-26 04:28:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

Hi;

How about using what you know about the growth of functions?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#477 2012-02-26 04:45:07

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym

I thought of asymptotic analysis as well, but I'm not sure how to use out properly.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#478 2012-02-26 04:49:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

Doesn't x^x^x grow faster than e^x^x when x > e?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#479 2012-02-26 05:25:31

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym
Well it does, but how do I formally show that? Or is that not necessary?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#480 2012-02-26 05:36:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

We are not looking for a formal idea here just a good solid reason why it might be so.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#481 2012-02-26 05:41:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Oh, ok then.next limit?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#482 2012-02-26 05:44:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

Also, do you really need a formal prove utilizing the sandwich theorem from topology to see that x^x^x grows faster than e^x^x?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#483 2012-02-26 05:47:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

No, thank you smile

Next one?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#484 2012-02-26 05:59:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

Yep, you are right. That question stretches the limits of this thread. I have removed it and banned the poster.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#485 2012-02-26 06:05:05

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym

Could you delete my reply to that post as well?

Next problem?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#486 2012-02-26 06:13:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

Hi;

I have done what you requested. I will need some tiime to make one up.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#487 2012-02-26 06:22:11

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym

Ok thanks.

You think of those problems? Why don't you just find some online?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#488 2012-02-26 06:30:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#489 2012-02-26 06:41:20

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#490 2012-02-26 06:45:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

That is correct! Very good. I think you know how to do a limit.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#491 2012-02-26 06:49:16

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym

Why wouldn't I know? Didn't I do limits before?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#492 2012-02-26 06:59:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

If you know and I know you know and you know that I know you know how, then why do you need anymore?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#493 2012-02-26 07:13:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym

Well why don't you give some harder?

Btw, I need help with this:

Given the function f(x)=

Find the real numbers a and b such that

f(x)=lxl*(a+b/x+o(1/x))

As x goes to infinity.

Last edited by anonimnystefy (2012-02-26 07:16:25)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#494 2012-02-26 07:17:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

Well why don't you give some harder?

Cause then you would not be able to do them or I would not. What sense does that make?

Take and post that in help me in a new topic. Someone will help you with it.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#495 2012-02-26 07:24:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym

You don't have to go overboard with the difficulty level. Choose some not so tough, but tough enough to represent a challenge.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#496 2012-02-26 07:26:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

Uh, have you read the first post in this thread?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#497 2012-02-26 07:45:28

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Yes I have , but that one has already been solved!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#498 2012-02-26 07:52:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

No, I meant this is gAr's thread and not mine. Here he poses the problems, not me. Also, I am totally out of ideas.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#499 2012-02-26 08:00:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,327

Re: Limits!

Hi bobbym

That sound just like a poor excuse. gAr didn't mind you posing problems here so far, I think he wouldn't mind now, but of you don't have ideas them you should just say so!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#500 2012-02-26 08:18:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,442

Re: Limits!

I did. Questions are difficult to pose, even harder than solving them. I have some questions for the other thread. And my point is your knowledge of limits is fine.

I have some problems for the other thread on asymptotics. Anyway, gAr is posting better problems.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

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