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#526 2012-07-04 23:44:47

anonimnystefy
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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.


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
 

#527 2012-07-04 23:46:10

bobbym
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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.
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.
 

#528 2012-07-04 23:51:08

anonimnystefy
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Re: Limits!

Maxima can, but my phone cannot.

It does seem familiar, but I cannot recognize it.


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
 

#529 2012-07-04 23:59:04

bobbym
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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.
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.
 

#530 2012-07-05 00:00:24

anonimnystefy
Real Member

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Re: Limits!

Why is it so funny?


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
 

#531 2012-07-05 00:04:34

bobbym
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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.
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.
 

#532 2012-07-05 00:23:30

anonimnystefy
Real Member

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Re: Limits!

Yes. neutral


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
 

#533 2012-07-05 00:27:28

bobbym
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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.
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.
 

#534 2012-07-05 00:31:18

anonimnystefy
Real Member

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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.


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
 

#535 2012-07-05 00:35:36

bobbym
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Re: Limits!

Can a sequence have two 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.
 

#536 2012-07-05 00:36:28

anonimnystefy
Real Member

Offline

Re: Limits!

Yes. Based on its 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
 

#537 2012-07-05 00:43:37

bobbym
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Re: Limits!

Were they provided in the question?


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.
 

#538 2012-07-05 00:47:45

anonimnystefy
Real Member

Offline

Re: Limits!

No.


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
 

#539 2012-07-05 00:51:16

bobbym
Administrator

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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.
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.
 

#540 2012-07-05 00:54:54

anonimnystefy
Real Member

Offline

Re: Limits!

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


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
 

#541 2012-07-05 01:04:09

bobbym
Administrator

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Re: Limits!

I do not see how that is possible.


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.
 

#542 2012-07-05 01:16:15

anonimnystefy
Real Member

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Re: Limits!

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


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
 

#543 2012-07-05 01:24:07

bobbym
Administrator

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Re: Limits!

That converges to 0.57735026918962576450915


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.
 

#544 2012-07-05 02:48:22

anonimnystefy
Real Member

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Re: Limits!

Can I see the 5th term of the sequence?


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
 

#545 2012-07-05 03:20:17

bobbym
Administrator

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Re: Limits!

Hi;


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.
 

#546 2012-07-05 03:21:58

anonimnystefy
Real Member

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Re: Limits!

Please keep them in the order given.


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
 

#547 2012-07-05 03:22:44

bobbym
Administrator

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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.
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.
 

#548 2012-07-05 03:31:40

anonimnystefy
Real Member

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Re: Limits!

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


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
 

#549 2012-07-05 03:39:59

bobbym
Administrator

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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.
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.
 

#550 2012-07-05 03:45:11

anonimnystefy
Real Member

Offline

Re: Limits!

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


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
 

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