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## #126 2011-07-02 22:07:21

anonimnystefy
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### Re: Limits!

hi gAr

what,no new limits?my brain will dumb out if i don't get my dose of math.

Last edited by anonimnystefy (2011-07-02 22:07:31)

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

## #127 2011-07-02 22:10:13

gAr
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### Re: Limits!

Hi anonimnystefy,

I find most of the limits yield to the techniques discussed here.
I'll post if I find something extraordinary!

"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."

## #128 2011-07-03 00:47:06

gAr
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### Re: Limits!

12)

Warning! Easy problem

"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."

## #129 2011-07-03 01:39:39

anonimnystefy
Real Member

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### Re: Limits!

hi gAr

Last edited by anonimnystefy (2011-07-03 01:40:04)

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

## #130 2011-07-03 01:52:45

gAr
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### 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."

## #131 2011-07-04 17:56:07

Full Member

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### Re: Limits!

9)

#### gAr wrote:

I couldn't come up with another method, can you?

Let x = 1/y.  As x --> 0, then 1/y --> 0.

So y --> oo (or -oo).

The limit could be expressed as:

Notes:
--------

Step 2 to step 3 used the Binomial Theorem.

Step 3 through step 5 could use some
justification/details to support the
continued patterns of terms and expressions,
respectively.

Last edited by reconsideryouranswer (2011-07-04 18:00:32)

Signature line:

I wish a had a more interesting signature line.

## #132 2011-07-04 18:46:53

gAr
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### 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."

## #133 2011-07-20 20:50:54

anonimnystefy
Real Member

Online

### Re: Limits!

hi gAr

Would you don't mind if i post a problem?It's just that i don't want the topic to get forgotten.

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

## #134 2011-07-20 21:28:46

gAr
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### Re: Limits!

Hi anonimnystefy,

Absolutely!
Anyone may post limit questions here.

"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."

## #135 2011-07-21 01:23:58

anonimnystefy
Real Member

Online

### Re: Limits!

hi gAr

thanks.

here's one interesting limit:

i haven't encountered it yet and its kind hasn't been mentioned in this topic but it is one of the easier limits of this kind

Last edited by anonimnystefy (2011-07-21 01:24:45)

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

## #136 2011-07-21 02:04:36

gAr
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### Re: Limits!

Hi,

I too haven't done multivariable 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."

## #137 2011-07-21 02:16:45

anonimnystefy
Real Member

Online

### Re: Limits!

hi

here's another multivariable 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

## #138 2011-07-21 03:53:57

anonimnystefy
Real Member

Online

### Re: Limits!

hi

these posts will be answered when i count to infinity and back.Maybe i should consult Chuck Norris.

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

## #139 2011-07-22 23:44:23

anonimnystefy
Real Member

Online

### Re: Limits!

just keeping the topic alive...

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

## #140 2011-07-23 01:55:34

bobbym

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### Re: Limits!

Hi anonimnystefy;

Is this one you want help on?

I have never done one but I know how the packages do them. I think they nest the limits:

Just plug x = 0 into the limit:

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.

## #141 2011-07-23 21:57:24

anonimnystefy
Real Member

Online

### Re: Limits!

hi bobbym

that is one way that it can be done,but we can also do it

Last edited by anonimnystefy (2011-07-23 21:59:42)

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

## #142 2011-07-23 22:00:16

anonimnystefy
Real Member

Online

### Re: Limits!

you can do the second one as well.

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

## #143 2011-07-24 15:52:12

bobbym

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### Re: Limits!

Hi;

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.

## #144 2011-07-24 19:38:45

anonimnystefy
Real Member

Online

### Re: Limits!

hi bobbym

i think that should be right(or left).

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

## #145 2011-07-24 21:30:12

bobbym

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### Re: Limits!

Hi;

I am not following you, are you saying the limits do not exist?

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.

## #146 2011-07-24 21:39:10

anonimnystefy
Real Member

Online

### Re: Limits!

the first limit does not exist and the second one is correct but i tried to make a very bad joke.

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

## #147 2011-07-24 21:42:58

bobbym

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### Re: Limits!

Hi;

Why do you think that

Does not exist?

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.

## #148 2011-07-24 21:53:41

anonimnystefy
Real Member

Online

### Re: Limits!

i said that the second limit you did exists.that is the one you did in post #143.

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

## #149 2011-07-24 21:55:51

bobbym

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### Re: Limits!

Hi;

Is it the one in #140?

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.

## #150 2011-07-24 22:04:29

anonimnystefy
Real Member

Online

### Re: Limits!

the one in #140 doesn't exist because when we aproach it from two different paths it has different values.it is similair to the situation with one variable limits when the left and the right limit do not match up.

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