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

You are not logged in.

## #451 2012-02-20 13:33:36

gAr
Star Member

Offline

### Re: Limits!

Hi bobbym,

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

"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."

## #452 2012-02-20 13:37:22

bobbym

Online

### Re: Limits!

Very good! You found the link, I was hiding it!

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.

## #453 2012-02-20 13:49:00

gAr
Star Member

Offline

### Re: Limits!

Thanks!
Do you want me to erase the link?

"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."

## #454 2012-02-20 15:16:15

bobbym

Online

### Re: Limits!

No, that is okay. I was just teasing him.

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.

## #455 2012-02-20 15:33:29

gAr
Star Member

Offline

### Re: Limits!

Okay.

"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."

## #456 2012-02-20 19:52:58

bobbym

Online

### Re: Limits!

Hi gAr;

Did you know to do that one before you found the link?

Hi anonimnystefy;

See post #450.

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.

## #457 2012-02-20 20:25:30

gAr
Star Member

Offline

### Re: Limits!

Hi bobbym,

I tried for sometime, but didn't get the solution. Then I searched for the link.

"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."

## #458 2012-02-20 20:51:47

bobbym

Online

### Re: Limits!

Hi;

I was unable to get it either.

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.

## #459 2012-02-20 21:33:43

gAr
Star Member

Offline

### Re: Limits!

Summations with flooring and ceiling are a bit difficult for me.

"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."

## #460 2012-02-20 23:16:00

bobbym

Online

### Re: Limits!

I agree, it is very hard to eliminate them.

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.

## #461 2012-02-21 01:48:19

anonimnystefy
Real Member

Offline

### 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

## #462 2012-02-21 04:17:21

bobbym

Online

### Re: Limits!

Hi;

No problem is too easy!

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.

## #463 2012-02-21 04:43:08

anonimnystefy
Real Member

Offline

### 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

## #464 2012-02-21 04:46:28

bobbym

Online

### Re: Limits!

Very good!

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.

## #465 2012-02-21 04:49:02

anonimnystefy
Real Member

Offline

### Re: Limits!

hi bobbym

next one?

and if you can,please check my attempt at the series #17 problem.tell me if it's good at all.if not i want to change my direction so that i don't waste my time on wrong attempts.

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

## #466 2012-02-21 04:55:41

bobbym

Online

### Re: 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.

## #467 2012-02-21 05:04:44

anonimnystefy
Real Member

Offline

### Re: Limits!

hi bobbym

my new friend Maxima says it's

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

## #468 2012-02-21 05:12:33

bobbym

Online

### Re: Limits!

What do you say it is?

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.

## #469 2012-02-21 05:13:59

anonimnystefy
Real Member

Offline

### 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

## #470 2012-02-21 05:15:43

bobbym

Online

### Re: 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.

## #471 2012-02-21 05:33:29

anonimnystefy
Real Member

Offline

### Re: Limits!

hi bobbym

i'm not sure.maybe because e/x tends to zero when x goes to infinity,and 0^'infinity' tends to zero? i'm just guessing because i tried to do the l'Hopital's rule,but i got some pretty nasty functions.

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

## #472 2012-02-21 05:35:52

bobbym

Online

### Re: Limits!

Do you at least have some empirical evidence?

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.

## #473 2012-02-21 05:43:50

anonimnystefy
Real Member

Offline

### Re: Limits!

hi bobbym

wolfram won't work it out for x=100 or x=1000. think there's no sense in going larger.

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

## #474 2012-02-21 05:50:03

bobbym

Online

### Re: Limits!

Did you know that Maxima can do arithmetic that dwarfs Mathematica's puny efforts.

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.

## #475 2012-02-27 03:20:54

anonimnystefy
Real Member

Offline

### Re: Limits!

Hi bobbym

I haven't done this on Maxima yet, but I'm sure that the answer is 0.

maybe another way could be using a substitution y=e^x.

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