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## #526 2012-07-04 01:44:47

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

### Re: Limits!

Just like I said. It converges to -sqrt(3)/3. But I wasn't ae to find any case for which it would go between two values.

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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## #527 2012-07-04 01:46:10

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

### Re: Limits!

I have two questions for you:

1) Are you aware that Maxima can do as well as M on this one?

2) Do you recognize the problem?

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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## #528 2012-07-04 01:51:08

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

### Re: Limits!

Maxima can, but my phone cannot.

It does seem familiar, but I cannot recognize it.

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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## #529 2012-07-04 01:59:04

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

### Re: Limits!

Hi;

It does seem familiar, but I cannot recognize it.

Hahhahahahahahhahahahha! That is much better than anything T has ever said to me. Very imaginative and darn good comedy.

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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## #530 2012-07-04 02:00:24

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

### Re: Limits!

Why is it so funny?

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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## #531 2012-07-04 02:04:34

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

### Re: Limits!

Hmmmm. You expect me to believe that you are unaware of its origins? I was born on Sunday but it was not last Sunday.

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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## #532 2012-07-04 02:23:30

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

### Re: Limits!

Yes.

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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## #533 2012-07-04 02:27:28

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

### Re: Limits!

Then something is not right in Denmark.

Anyways, what can you say about the limit of that sequence 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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## #534 2012-07-04 02:31:18

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

### Re: Limits!

Can you first tell me where that sequence should be familiar from?
It would seem that the limit of the sequence is either plus or minus sqrt(3)/3.

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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## #535 2012-07-04 02:35:36

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

### Re: Limits!

Can a sequence have two 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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## #536 2012-07-04 02:36:28

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

### Re: Limits!

Yes. Based on its 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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## #537 2012-07-04 02:43:37

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

### Re: Limits!

Were they provided in the question?

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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## #538 2012-07-04 02:47:45

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

### Re: Limits!

No.

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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## #539 2012-07-04 02:51:16

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

### Re: Limits!

Can we prove that those are the only two possibilities?

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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## #540 2012-07-04 02:54:54

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

### Re: Limits!

There is also a possibility of initial conditions leading to a sum of 3 consecutive elements to be 0.

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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## #541 2012-07-04 03:04:09

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

### Re: Limits!

I do not see how that is possible.

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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## #542 2012-07-04 03:16:15

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

### Re: Limits!

What about initial conditions 17/6,-10/3 and 1?

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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## #543 2012-07-04 03:24:07

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

### Re: Limits!

That converges to 0.57735026918962576450915

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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## #544 2012-07-04 04:48:22

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

### Re: Limits!

Can I see the 5th term of the sequence?

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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## #545 2012-07-04 05:20:17

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

### Re: Limits!

Hi;

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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## #546 2012-07-04 05:21:58

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

### Re: Limits!

Please keep them in the order given.

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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## #547 2012-07-04 05:22:44

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

### Re: Limits!

That is a(0), a(1) and a(2) etcetera.

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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## #548 2012-07-04 05:31:40

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

### Re: Limits!

a(0)=17/6
a(1)=-10/3
a(2)=1

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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## #549 2012-07-04 05:39:59

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

### Re: Limits!

Okay, the fourth one was division by zero. It is clear that unless the question specifies something about the initial conditions it is kaboobly doo.

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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## #550 2012-07-04 05:45:11

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

### Re: Limits!

That's what I was saying. I will see if anything is true for triplets that end up giving a zero.

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