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#51 2011-06-28 09:23:06

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

Re: Limits!

hi bobbym

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


“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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#52 2011-06-28 10:26:21

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

Re: Limits!

Solved it!!!

Last edited by anonimnystefy (2011-06-28 10:38:17)


“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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#53 2011-06-28 15:11:03

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

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."

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#54 2011-06-28 15:18:32

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

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."

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#55 2011-06-28 18:34:22

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

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

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#56 2011-06-28 18:53:27

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

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."

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#57 2011-06-28 19:16:45

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

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

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#58 2011-06-28 19:26:05

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

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








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#59 2011-06-28 19:32:30

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

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."

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#60 2011-06-28 19:37:42

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

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

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#61 2011-06-28 19:40:08

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

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."

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#62 2011-06-28 19:42:32

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

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

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#63 2011-06-28 19:45:16

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

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."

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#64 2011-06-28 20:04:58

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

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

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#65 2011-06-28 20:17:41

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

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."

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#66 2011-06-28 21:30:00

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

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

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#67 2011-06-28 21:33:26

123ronnie321
Member
Registered: 2010-09-28
Posts: 128

Re: Limits!

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

My attempt at 7

Last edited by 123ronnie321 (2011-06-29 19:35:14)

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#68 2011-06-28 21:59:11

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

Re: Limits!

Hi 123ronnie321,

That's correct, good job!

Last edited by gAr (2011-06-28 21:59:45)


"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."

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#69 2011-06-28 22:51:50

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

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."

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#70 2011-06-29 00:50:49

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

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

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#71 2011-06-29 00:58:34

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

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."

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#72 2011-06-29 01:01:13

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

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

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#73 2011-06-29 01:10:59

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

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."

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#74 2011-06-29 01:16:14

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

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

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#75 2011-06-29 01:18:00

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

Re: Limits!

hi all

could anyone explain how 123ronnie321 got:

Last edited by anonimnystefy (2011-06-29 01:18:40)


“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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