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## #501 2012-02-26 08:33:29

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

Hi bobbym

Are you referring to the new thread or the old big oh 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
The knowledge of some things as a function of age is a delta function.

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## #502 2012-02-26 08:36:21

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### Re: Limits!

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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## #503 2012-02-26 08:39:58

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

So the big oh one.well post it then!

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
The knowledge of some things as a function of age is a delta function.

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## #504 2012-02-26 08:48:37

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### 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.
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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## #505 2012-06-26 06:07:23

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

Any new limits?

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
The knowledge of some things as a function of age is a delta function.

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## #506 2012-06-26 17:23:41

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### Re: Limits!

Hi;

What is the limit of this sequence?

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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## #507 2012-06-27 03:07:07

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

### 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."

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## #508 2012-06-27 03:10:35

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### Re: Limits!

Hi gAr;

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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## #509 2012-06-27 03:15:24

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

### 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."

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## #510 2012-06-27 03:17:11

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### 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.
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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## #511 2012-06-27 03:24:12

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### 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
The knowledge of some things as a function of age is a delta function.

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## #512 2012-06-27 03:25:11

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

### 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."

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## #513 2012-06-27 03:25:35

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### Re: Limits!

Hi anonimnystefy;

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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## #514 2012-06-27 03:32:25

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

Okay.

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

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
The knowledge of some things as a function of age is a delta function.

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## #515 2012-06-27 03:34:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### Re: Limits!

Hi;

They can not all be negative.

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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## #516 2012-06-27 03:54:04

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### 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
The knowledge of some things as a function of age is a delta function.

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## #517 2012-06-27 03:57:40

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### 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.
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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## #518 2012-07-03 17:00:07

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

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

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
The knowledge of some things as a function of age is a delta function.

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## #519 2012-07-03 20:21:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### 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.
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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## #520 2012-07-04 00:49:47

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

Did you try the recursion with some big initial conditions?

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
The knowledge of some things as a function of age is a delta function.

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## #521 2012-07-04 01:09:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### 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.
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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## #522 2012-07-04 01:26:36

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

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

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
The knowledge of some things as a function of age is a delta function.

Offline

## #523 2012-07-04 01:35:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### 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.
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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## #524 2012-07-04 01:38:48

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Limits!

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

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
The knowledge of some things as a function of age is a delta function.

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## #525 2012-07-04 01:41:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

### Re: Limits!

-0.5773502691896258

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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