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#51 2011-06-29 07:23:06

anonimnystefy
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Re: Limits!

hi bobbym

found out that it should be equal to 1/e.


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
 

#52 2011-06-29 08:26:21

anonimnystefy
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Re: Limits!

Solved it!!!

Last edited by anonimnystefy (2011-06-29 08:38:17)


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
 

#53 2011-06-29 13:11:03

gAr
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Re: Limits!

Hi all!

Hi bobbym,

In post #48, were you talking about question 6?


Hi anonimnystefy,

That's correct, very good! Hide your 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."
 

#54 2011-06-29 13:18:32

gAr
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Re: Limits!

7)



"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."
 

#55 2011-06-29 16:34:22

bobbym
Administrator

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Re: Limits!

Hi gAr;

Yes, they are doing a strange thing on some of those. Bringing the limit not only through the tangents which is sometimes okay. They are bringing it up to the exponent.


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.
 

#56 2011-06-29 16:53:27

gAr
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Re: Limits!

Hi bobbym,

I use some "standard" results.
It's useful if someone doesn't know differentiation.


We can apply these if we can reduce to these forms.
But I did not understand what you actually meant!

What would be your approach?


"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."
 

#57 2011-06-29 17:16:45

bobbym
Administrator

Online

Re: Limits!

Hi;

I noticed maple in their student package solving like this:



Apply power rule.





L'Hospitals rule.



Now what is that?


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.
 

#58 2011-06-29 17:26:05

reconsideryouranswer
Full Member

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Re: Limits!

gAr wrote:

2)





Problem:

Let A = (1 + 1/2 + ... + 1/n)

Let B = [1/(n + 1) + 1/(n + 2) + ... + 1/(n + n)]

Let C = A  + B

Then B = C - A


























Signature line:

I wish a had a more interesting signature line.
 

#59 2011-06-29 17:32:30

gAr
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Re: Limits!

Hi reconsideryouranswer,

That's correct, very good!
Thanks for your solution.


Hi bobbym,

Did it mean to say answer is 1?!


"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."
 

#60 2011-06-29 17:37:42

bobbym
Administrator

Online

Re: Limits!

I guess?! I do not get why he brings the limit operator into the exponent!


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.
 

#61 2011-06-29 17:40:08

gAr
Star Member

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Re: Limits!

That's bad of them, misleading the students!


"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."
 

#62 2011-06-29 17:42:32

bobbym
Administrator

Online

Re: Limits!

Does it on every one I tried with an exponent. Freaky bad move!


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.
 

#63 2011-06-29 17:45:16

gAr
Star Member

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Re: Limits!

So it means even


?


"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."
 

#64 2011-06-29 18:04:58

bobbym
Administrator

Online

Re: Limits!

Yes, it is the new math. It certainly simplifies things.


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.
 

#65 2011-06-29 18:17:41

gAr
Star Member

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Re: Limits!

Hmmm, has anyone reported it to maple?


"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."
 

#66 2011-06-29 19:30:00

bobbym
Administrator

Online

Re: Limits!

Hi;

That is the funny thing. No one has. No software is perfect but this is too much.


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.
 

#67 2011-06-29 19:33:26

123ronnie321
Full Member

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Re: Limits!

Hi gAr,
Nice and well explained solution to Post no. 23.

My attempt at 7

Last edited by 123ronnie321 (2011-06-30 17:35:14)

 

#68 2011-06-29 19:59:11

gAr
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Re: Limits!

Hi 123ronnie321,

That's correct, good job!

Last edited by gAr (2011-06-29 19:59:45)


"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."
 

#69 2011-06-29 20:51:50

gAr
Star Member

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Re: Limits!

Hi bobbym,

Missed your post aagain!

Yes, it's funny indeed.
Have you checked the other versions of maple?


"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."
 

#70 2011-06-29 22:50:49

bobbym
Administrator

Online

Re: Limits!

Hi;

As far as I know it occurs in 12,13 and 14. It is not part of the main package but it is part of student package.


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.
 

#71 2011-06-29 22:58:34

gAr
Star Member

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Re: Limits!

Hi bobbym,

Are the main packages doing fine?


"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."
 

#72 2011-06-29 23:01:13

bobbym
Administrator

Online

Re: Limits!

Yes, it is a good package. On some other forums they knock CAS. They are quick to point out when they make a mistake and forget the 1000 times they are right. That type of reasoning is bad.


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.
 

#73 2011-06-29 23:10:59

gAr
Star Member

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Re: Limits!

Hi bobbym,

Yes, people never remember good things and never forget bad things!
Anyway, such an obvious mistake is hard to digest.
Could it be a problem with the installation?!


"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."
 

#74 2011-06-29 23:16:14

bobbym
Administrator

Online

Re: Limits!

I do not think so. I just think whomever wrote that module for them has a weird understanding of limits. Let me show you another one:

http://www.mathisfunforum.com/viewtopic.php?id=12832

Post #1
Post #4
Post #9

This was also done by that module.


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.
 

#75 2011-06-29 23:18:00

anonimnystefy
Real Member

Offline

Re: Limits!

hi all

could anyone explain how 123ronnie321 got:

Last edited by anonimnystefy (2011-06-29 23:18:40)


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
 

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