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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

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 00:07:31)*

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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

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."

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

**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."

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

hi gAr

*Last edited by anonimnystefy (2011-07-02 03:40:04)*

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

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."

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**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 172

**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 (2011-07-03 20:00:32)*

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

Hi reconsideryouranswer,

Thanks, good answer!

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

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.

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

Hi anonimnystefy,

Absolutely!

Anyone may post limit questions here.

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

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 (2011-07-20 03:24:45)*

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

Hi,

I too haven't done multivariable limits!

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

hi

here's another multivariable limit:

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

hi

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

Here lies the reader who will never open this book. He is forever dead.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

just keeping the topic alive...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,665

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.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

hi bobbym

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

*Last edited by anonimnystefy (2011-07-22 23:59:42)*

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

you can do the second one as well.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,665

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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

hi bobbym

i think that should be right(or left).

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,665

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.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

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

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,665

Hi;

Why do you think that

Does not exist?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,665

Hi;

Is it the one in #140?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,523

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.

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