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## #501 2012-02-27 07:33:29

anonimnystefy
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### Re: Limits!

Hi bobbym

Are you referring to the new thread or the old big oh thread?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #502 2012-02-27 07:36:21

bobbym

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### 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.

## #503 2012-02-27 07:39:58

anonimnystefy
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### Re: Limits!

So the big oh one.well post it then!

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #504 2012-02-27 07:48:37

bobbym

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### Re: Limits!

I would love to but there is already an unfinished problem there.

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.

## #505 2012-06-27 04:07:23

anonimnystefy
Real Member

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### Re: Limits!

Any new limits?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #506 2012-06-27 15:23:41

bobbym

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### Re: Limits!

Hi;

What is the limit of this sequence?

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.

## #507 2012-06-28 01:07:07

gAr
Star Member

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### Re: Limits!

Hi bobbym,

"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."

## #508 2012-06-28 01:10:35

bobbym

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### Re: Limits!

Hi gAr;

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.

## #509 2012-06-28 01:15:24

gAr
Star Member

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### Re: Limits!

Hi,

Our answers are definitely correct, we only need to prove it converges to a limit.

"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."

## #510 2012-06-28 01:17:11

bobbym

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### Re: Limits!

Yes! And we need to prove that for all initial conditions that occurs!

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.

## #511 2012-06-28 01:24:12

anonimnystefy
Real Member

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### Re: Limits!

Hi bobbym

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #512 2012-06-28 01:25:11

gAr
Star Member

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### Re: Limits!

Yeah, and I haven't tried proving those parts yet, and I don't know for now!

"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."

## #513 2012-06-28 01:25:35

bobbym

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### Re: Limits!

Hi anonimnystefy;

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.

## #514 2012-06-28 01:32:25

anonimnystefy
Real Member

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### Re: Limits!

Okay.

I just remembered. It will be -sqrt(3)/3 for negative initial conditions!

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #515 2012-06-28 01:34:54

bobbym

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### Re: Limits!

Hi;

They can not all be negative.

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.

## #516 2012-06-28 01:54:04

anonimnystefy
Real Member

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### Re: Limits!

Why not?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #517 2012-06-28 01:57:40

bobbym

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### Re: Limits!

That is a good question. They could all be negative.

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.

## #518 2012-07-04 15:00:07

anonimnystefy
Real Member

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### Re: Limits!

If the initial conditions are negative, so will be all other elements of the array.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #519 2012-07-04 18:21:29

bobbym

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### Re: Limits!

When the question was first posed, I did not like it. I still don't.

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.

## #520 2012-07-04 22:49:47

anonimnystefy
Real Member

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### Re: Limits!

Did you try the recursion with some big initial conditions?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #521 2012-07-04 23:09:42

bobbym

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### Re: Limits!

No, I did not do that. Someone also mentioned that it is possible for the recurrence to oscillate for two different values.

It is important to remember that these detractors never ever produced any of these initial conditions that had these properties.

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.

## #522 2012-07-04 23:26:36

anonimnystefy
Real Member

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### Re: Limits!

Could you try 0,1,2 for me in M?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #523 2012-07-04 23:35:08

bobbym

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### Re: Limits!

Hi;

Of course! The sequence converged to 0.5773502691896258 in 200 iterations.

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.

## #524 2012-07-04 23:38:48

anonimnystefy
Real Member

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### Re: Limits!

Which is again sqrt(3)/3. What about 0,-1,-2?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #525 2012-07-04 23:41:19

bobbym

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### Re: Limits!

-0.5773502691896258

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.