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#401 2012-02-17 02:39:34

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

why not?


“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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#402 2012-02-17 02:40:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

I thought it was kind of artificial. Anyway, it did not stick in my head.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#403 2012-02-17 02:48:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

well a proof is a proof,although i don't like proofs with the use of computers.


“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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#404 2012-02-17 02:50:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

Better get used to them. I will see you a little later.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#405 2012-02-17 02:56:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

ok.


“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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#406 2012-02-17 05:56:46

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Limits!

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#407 2012-02-17 06:00:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

hi gAr


“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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#408 2012-02-17 08:22:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

Hi gAr and anonimnystefy;

We can now use the fact that all the terms are positive except for (-1)^n which oscillates. We just need to prove it does not get smaller.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#409 2012-02-17 09:03:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

i don't think i understand you.


“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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#410 2012-02-17 09:06:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

Which part?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#411 2012-02-17 09:07:44

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

all of it.

and could you check the series thread?


“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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#412 2012-02-17 09:11:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

This was just a suggestion. I will need to look at it before I can say anything. I am being called away for chores, see you later.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#413 2012-02-17 09:11:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

ok.see you smile


“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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#414 2012-02-17 11:24:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

Hi gAr;

Good to see you, thanks for the idea.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#415 2012-02-17 11:45:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

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

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#416 2012-02-17 12:17:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

Hi;

That is correct!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#417 2012-02-17 16:22:12

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Limits!

Hi bobbym,

You're welcome.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#418 2012-02-17 23:44:14

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

What is the limit of a_n as n approaches infinity, with a being any real number.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#419 2012-02-18 02:24:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

hi bobbym

i would say that it's

but i am not sure.


“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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#420 2012-02-18 07:04:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#421 2012-02-18 07:19:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

hi bobbym

i knew it.that was just a guess.i have no idea how to do this one tongue


“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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#422 2012-02-18 07:21:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

It is difficult to do in the classical way, but maybe there is something else...


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#423 2012-02-18 07:27:20

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

what is that else?


“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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#424 2012-02-18 07:52:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,714

Re: Limits!

I do not know yet. I am busy working on the other problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#425 2012-02-18 08:04:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,603

Re: Limits!

ok,let me know when you know what that else is.


“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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