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

You are not logged in.

## #151 2011-07-24 22:14:11

bobbym

Online

### Re: Limits!

Hi;

I am getting that does exist because when you approach from both sides it still goes to zero, have you tried numerically?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #152 2011-07-24 22:22:12

anonimnystefy
Real Member

Offline

### Re: Limits!

you can approach the limit from infinitely many sides,but just because two of them match upo doesn't mean that it exists.if you substitute y=x than you get:

Last edited by anonimnystefy (2011-07-24 22:23:00)

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

## #153 2011-07-24 22:29:32

bobbym

Online

### Re: Limits!

Hi;

Why can you say y = x?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #154 2011-07-24 22:32:17

anonimnystefy
Real Member

Offline

### Re: Limits!

hi

because (x,y) is apraching (0,0) we can come to that point along any line that goes through that point.and because y=x satisfies that condition we can use that line to calculate the limit.

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

## #155 2011-07-25 00:17:07

bobbym

Online

### Re: Limits!

Hi;

I see what you are saying. Thanks for providing that.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #156 2011-07-25 04:05:14

anonimnystefy
Real Member

Offline

### Re: Limits!

ure welcome.i didn't understand it at first.

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

## #157 2011-07-25 04:11:53

bobbym

Online

### Re: Limits!

I forgot that. I was coming down the xy axes that has a limit of 0 but if you come down any other path to (0,0) then the limit will be something else. Simplest is y = x.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #158 2011-07-27 00:52:46

anonimnystefy
Real Member

Offline

### 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

## #159 2011-07-27 01:04:44

gAr
Star Member

Offline

### Re: Limits!

Hi anonimnystefy,

Those which I have are similar to the ones I have posted, and I dislike repetitions!

"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."

## #160 2011-07-27 01:24:22

anonimnystefy
Real Member

Offline

### Re: Limits!

hi

so nothng?

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

## #161 2011-07-27 01:38:41

gAr
Star Member

Offline

### Re: Limits!

For now ...

"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."

## #162 2011-07-27 01:41:28

anonimnystefy
Real Member

Offline

### Re: Limits!

now i am going away to cry .................................................i'm back.i feel better now.

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

## #163 2011-07-27 01:52:30

gAr
Star Member

Offline

### Re: Limits!

Cool!

If I repeat the problems, I'll cry!

"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."

## #164 2011-07-27 19:42:11

gAr
Star Member

Offline

### Re: Limits!

15)

"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."

## #165 2011-07-27 19:44:30

anonimnystefy
Real Member

Offline

### Re: Limits!

hi gAr

thanks for the problem

should we look at x as a constant or a variable  dependent of t?

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

## #166 2011-07-27 19:49:42

gAr
Star Member

Offline

### Re: Limits!

Hi anonimnystefy,

"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."

## #167 2011-07-27 20:17:07

anonimnystefy
Real Member

Offline

### Re: Limits!

hi gAr

is this

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

## #168 2011-07-27 20:22:28

gAr
Star Member

Offline

### Re: Limits!

Hi,

No, that is ∞

"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."

## #169 2011-07-27 20:24:33

bobbym

Online

### Re: Limits!

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #170 2011-07-27 20:27:41

gAr
Star Member

Offline

### Re: Limits!

"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."

## #171 2011-07-27 20:30:10

bobbym

Online

### Re: Limits!

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #172 2011-07-27 20:40:11

gAr
Star Member

Offline

### Re: Limits!

Hi bobbym,

Okay. That must've been a lengthy solution.

It can be done in 3 or 4 steps using the hint.

"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."

## #173 2011-07-28 18:50:39

bobbym

Online

### Re: Limits!

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #174 2011-07-28 19:07:11

gAr
Star Member

Offline

### Re: Limits!

Last edited by gAr (2011-07-28 19:09:11)

"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."

## #175 2011-07-28 19:11:44

bobbym

Online

### Re: Limits!

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.