Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
You are not logged in.
#526 2012-07-04 23:44:47
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#527 2012-07-04 23:46:10
- bobbym
- Administrator
Online
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#528 2012-07-04 23:51:08
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#529 2012-07-04 23:59:04
- bobbym
- Administrator
Online
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#530 2012-07-05 00:00:24
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#531 2012-07-05 00:04:34
- bobbym
- Administrator
Online
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#532 2012-07-05 00:23:30
- anonimnystefy
- Real Member
Offline
Re: Limits!
Yes. 
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#533 2012-07-05 00:27:28
- bobbym
- Administrator
Online
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#534 2012-07-05 00:31:18
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#535 2012-07-05 00:35:36
- bobbym
- Administrator
Online
Re: Limits!
Can a sequence have two limits?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#537 2012-07-05 00:43:37
- bobbym
- Administrator
Online
Re: Limits!
Were they provided in the question?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#539 2012-07-05 00:51:16
- bobbym
- Administrator
Online
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#541 2012-07-05 01:04:09
- bobbym
- Administrator
Online
Re: Limits!
I do not see how that is possible.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#542 2012-07-05 01:16:15
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#543 2012-07-05 01:24:07
- bobbym
- Administrator
Online
Re: Limits!
That converges to 0.57735026918962576450915
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#544 2012-07-05 02:48:22
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#545 2012-07-05 03:20:17
- bobbym
- Administrator
Online
Re: Limits!
Hi;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#546 2012-07-05 03:21:58
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#547 2012-07-05 03:22:44
- bobbym
- Administrator
Online
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#548 2012-07-05 03:31:40
- anonimnystefy
- Real Member
Offline
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#549 2012-07-05 03:39:59
- bobbym
- Administrator
Online
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón