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#26 2011-06-28 01:54:14

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

not sure if i know how to do this one.

i just noticed when you posted these several problems that i don't know limits as much as i thought.


“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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#27 2011-06-28 02:18:45

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

Re: Limits!

Not a problem.
You should be happy that there's more to learn, wihch's great fun!



"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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#28 2011-06-28 02:21:37

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

thanx gAr

you're right about learning.just hope i can learn it.


“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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#29 2011-06-28 02:22:45

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

could you find a slightly easier problem?


“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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#30 2011-06-28 02:34:41

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

Re: Limits!

Do you know L'Hospital's rule?


"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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#31 2011-06-28 02:36:38

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

I do.


“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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#32 2011-06-28 02:45:27

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

Re: Limits!

Okay.
4)


"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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#33 2011-06-28 03:01:22

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

hi gAr just one question.

Using the l'Hopital's rule i got:


“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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#34 2011-06-28 03:05:59

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

Re: Limits!

You left out 1 from the numerator:

and use the rule again.


"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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#35 2011-06-28 03:07:57

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

hi gAr

Last edited by anonimnystefy (2011-06-28 03:08:14)


“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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#36 2011-06-28 03:11:38

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

Re: Limits!

Yes!

5)


"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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#37 2011-06-28 03:22:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

hi gAr

Last edited by anonimnystefy (2011-06-28 04:10:39)


“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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#38 2011-06-28 03:42:54

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,376

Re: Limits!

hi gAr

I'm getting

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#39 2011-06-28 03:42:58

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,228

Re: Limits!

Hi all;


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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#40 2011-06-28 03:48:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

hi bob bundy and bobbym

you're right guys. i started the wrong way.


“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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#41 2011-06-28 04:18:55

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

Re: Limits!

Hi all,

-2 is correct.

Hi anonimnystefy,

If you show your steps, it would be easier to know whether you are approaching it in a good way, or you have come up with a better way!


"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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#42 2011-06-28 04:21:32

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

Re: Limits!

6)


"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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#43 2011-06-28 04:27:33

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

hi gAr

here's how i did it:


“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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#44 2011-06-28 04:36:51

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

Re: Limits!

Hi anonimnystefy,

You may avoid L'Hospital's rule here!

Now, try the next one!

Last edited by gAr (2011-06-28 04:37:38)


"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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#45 2011-06-28 04:44:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

could you give me a hint?


“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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#46 2011-06-28 04:48:46

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

Re: Limits!

Hi,


"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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#47 2011-06-28 07:41:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

hi gAr

can't seem to get it


“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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#48 2011-06-28 09:00:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,228

Re: Limits!

Hi gAr;


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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#49 2011-06-28 09:08:33

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: Limits!

what from here?


“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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#50 2011-06-28 09:17:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,228

Re: Limits!

Hi anonimnystefy;

Sorry, that is the best I could do. I am drawing a blank.


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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