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#26 2011-06-28 23:54:14

anonimnystefy
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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.


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
 

#27 2011-06-29 00:18:45

gAr
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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."
 

#28 2011-06-29 00:21:37

anonimnystefy
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Re: Limits!

thanx gAr

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


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
 

#29 2011-06-29 00:22:45

anonimnystefy
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Re: Limits!

could you find a slightly easier problem?


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
 

#30 2011-06-29 00:34:41

gAr
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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."
 

#31 2011-06-29 00:36:38

anonimnystefy
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Re: Limits!

I do.


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
 

#32 2011-06-29 00:45:27

gAr
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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."
 

#33 2011-06-29 01:01:22

anonimnystefy
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Re: Limits!

hi gAr just one question.

Using the l'Hopital's rule i got:


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
 

#34 2011-06-29 01:05:59

gAr
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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."
 

#35 2011-06-29 01:07:57

anonimnystefy
Real Member

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Re: Limits!

hi gAr

Last edited by anonimnystefy (2011-06-29 01:08:14)


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
 

#36 2011-06-29 01:11:38

gAr
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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."
 

#37 2011-06-29 01:22:49

anonimnystefy
Real Member

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Re: Limits!

hi gAr

Last edited by anonimnystefy (2011-06-29 02:10:39)


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
 

#38 2011-06-29 01:42:54

bob bundy
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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
 

#39 2011-06-29 01:42:58

bobbym
Administrator

Online

Re: Limits!

Hi all;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#40 2011-06-29 01:48:02

anonimnystefy
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Re: Limits!

hi bob bundy and bobbym

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


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
 

#41 2011-06-29 02:18:55

gAr
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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."
 

#42 2011-06-29 02:21:32

gAr
Star Member

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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."
 

#43 2011-06-29 02:27:33

anonimnystefy
Real Member

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Re: Limits!

hi gAr

here's how i did it:


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
 

#44 2011-06-29 02:36:51

gAr
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Re: Limits!

Hi anonimnystefy,

You may avoid L'Hospital's rule here!



Now, try the next one!

Last edited by gAr (2011-06-29 02:37:38)


"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."
 

#45 2011-06-29 02:44:45

anonimnystefy
Real Member

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Re: Limits!

could you give me a hint?


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
 

#46 2011-06-29 02:48:46

gAr
Star Member

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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."
 

#47 2011-06-29 05:41:54

anonimnystefy
Real Member

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Re: Limits!

hi gAr

can't seem to get it


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
 

#48 2011-06-29 07:00:50

bobbym
Administrator

Online

Re: Limits!

Hi gAr;




In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#49 2011-06-29 07:08:33

anonimnystefy
Real Member

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Re: Limits!

what from here?


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
 

#50 2011-06-29 07:17:08

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

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