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## #401 2012-02-18 01:39:34

anonimnystefy
Real Member

Online

### Re: Limits!

why not?

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

## #402 2012-02-18 01:40:35

bobbym

Online

### 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.
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.

## #403 2012-02-18 01:48:04

anonimnystefy
Real Member

Online

### Re: Limits!

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

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

## #404 2012-02-18 01:50:40

bobbym

Online

### 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.
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.

## #405 2012-02-18 01:56:53

anonimnystefy
Real Member

Online

### Re: Limits!

ok.

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

## #406 2012-02-18 04:56:46

gAr
Star Member

Offline

### 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."

## #407 2012-02-18 05:00:18

anonimnystefy
Real Member

Online

### Re: Limits!

hi gAr

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

## #408 2012-02-18 07:22:47

bobbym

Online

### 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.
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.

## #409 2012-02-18 08:03:53

anonimnystefy
Real Member

Online

### Re: Limits!

i don't think i understand you.

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

## #410 2012-02-18 08:06:41

bobbym

Online

### Re: Limits!

Which part?

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.

## #411 2012-02-18 08:07:44

anonimnystefy
Real Member

Online

### Re: Limits!

all of it.

and could you check the series thread?

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

## #412 2012-02-18 08:11:02

bobbym

Online

### 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.
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.

## #413 2012-02-18 08:11:49

anonimnystefy
Real Member

Online

### Re: Limits!

ok.see you

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

## #414 2012-02-18 10:24:27

bobbym

Online

### 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.
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.

## #415 2012-02-18 10:45:49

anonimnystefy
Real Member

Online

### Re: Limits!

hi bobbym

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

## #416 2012-02-18 11:17:00

bobbym

Online

### Re: Limits!

Hi;

That is correct!

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.

## #417 2012-02-18 15:22:12

gAr
Star Member

Offline

### 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."

## #418 2012-02-18 22:44:14

bobbym

Online

### 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.
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.

## #419 2012-02-19 01:24:42

anonimnystefy
Real Member

Online

### Re: Limits!

hi bobbym

i would say that it's

but i am not sure.

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

## #420 2012-02-19 06:04:23

bobbym

Online

### 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.

## #421 2012-02-19 06:19:49

anonimnystefy
Real Member

Online

### Re: Limits!

hi bobbym

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

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

## #422 2012-02-19 06:21:43

bobbym

Online

### 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.
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.

## #423 2012-02-19 06:27:20

anonimnystefy
Real Member

Online

### Re: Limits!

what is that else?

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

## #424 2012-02-19 06:52:29

bobbym

Online

### 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.
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.

## #425 2012-02-19 07:04:57

anonimnystefy
Real Member

Online

### Re: Limits!

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

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