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#126 2011-07-02 00:07:21

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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 00:07:31)


“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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#127 2011-07-02 00:10:13

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

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."

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#128 2011-07-02 02:47:06

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

Re: Limits!

12)



Warning! Easy problem sad


"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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#129 2011-07-02 03:39:39

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

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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#130 2011-07-02 03:52:45

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

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."

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#131 2011-07-03 19:56:07

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

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


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I wish a had a more interesting signature line.

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#132 2011-07-03 20:46:53

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

Re: Limits!

Hi reconsideryouranswer,

Thanks, good answer!


"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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#133 2011-07-19 22:50:54

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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.


“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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#134 2011-07-19 23:28:46

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

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."

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#135 2011-07-20 03:23:58

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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


“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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#136 2011-07-20 04:04:36

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

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."

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#137 2011-07-20 04:16:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

hi

here's another multivariable limit:


“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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#138 2011-07-20 05:53:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

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.

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

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#139 2011-07-22 01:44:23

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

just keeping the topic alive...


“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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#140 2011-07-22 03:55:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#141 2011-07-22 23:57:24

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

hi bobbym

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

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


“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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#142 2011-07-23 00:00:16

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

you can do the second one as well.


“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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#143 2011-07-23 17:52:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Limits!

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#144 2011-07-23 21:38:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

hi bobbym

i think that should be right(or left).


“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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#145 2011-07-23 23:30:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#146 2011-07-23 23:39:10

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

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.

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

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#147 2011-07-23 23:42:58

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Limits!

Hi;

Why do you think that

Does not exist?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#148 2011-07-23 23:53:41

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Limits!

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


“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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#149 2011-07-23 23:55:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Limits!

Hi;

Is it the one in #140?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#150 2011-07-24 00:04:29

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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.


“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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