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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#401 2012-02-17 02:39:34

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

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

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#402 2012-02-17 02:40:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

I thought it was kind of artificial. Anyway, it did not stick in my head.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#403 2012-02-17 02:48:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

well a proof is a proof,although i don't like proofs with the use of computers.


“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

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#404 2012-02-17 02:50:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

Better get used to them. I will see you a little later.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#405 2012-02-17 02:56:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

ok.


“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

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#406 2012-02-17 05:56:46

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

Re: Limits!

Hi,


"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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#407 2012-02-17 06:00:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

hi gAr


“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

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#408 2012-02-17 08:22:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

Hi gAr and anonimnystefy;

We can now use the fact that all the terms are positive except for (-1)^n which oscillates. We just need to prove it does not get smaller.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#409 2012-02-17 09:03:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

i don't think i understand you.


“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

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#410 2012-02-17 09:06:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

Which part?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#411 2012-02-17 09:07:44

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

all of it.

and could you check the series 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

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#412 2012-02-17 09:11:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

This was just a suggestion. I will need to look at it before I can say anything. I am being called away for chores, see you later.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#413 2012-02-17 09:11:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

ok.see you smile


“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

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#414 2012-02-17 11:24:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

Hi gAr;

Good to see you, thanks for the idea.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#415 2012-02-17 11:45:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

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

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#416 2012-02-17 12:17:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

Hi;

That is correct!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#417 2012-02-17 16:22:12

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

Re: Limits!

Hi bobbym,

You're welcome.


"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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#418 2012-02-17 23:44:14

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

What is the limit of a_n as n approaches infinity, with a being any real number.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#419 2012-02-18 02:24:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

hi bobbym

i would say that it's

but i am not sure.


“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

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#420 2012-02-18 07:04:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#421 2012-02-18 07:19:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

hi bobbym

i knew it.that was just a guess.i have no idea how to do this one tongue


“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

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#422 2012-02-18 07:21:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

It is difficult to do in the classical way, but maybe there is something else...


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#423 2012-02-18 07:27:20

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

what is that else?


“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

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#424 2012-02-18 07:52:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Limits!

I do not know yet. I am busy working on the other problem.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#425 2012-02-18 08:04:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Limits!

ok,let me know when you know what that else is.


“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

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