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#1 2014-11-04 04:39:43

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
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Limits

If y->1, show that (y^n - 1)/(y^m - 1) = (y^nx - 1)/(y^mx - 1)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#2 2014-11-04 06:07:46

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Limits

Hi;

Is this the question?

Prove:


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2014-11-04 06:21:31

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

Yes.

I'm not sure that it is true though.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#4 2014-11-04 06:29:21

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Limits

Did you play around with it a bit?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2014-11-05 07:48:14

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

Yes, M


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#6 2014-11-05 07:48:52

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Limits

What the heck are you doing up at this hour?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#7 2014-11-05 13:09:37

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

I am trying to solve the Delocarte Numbers Problem. What about you?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#8 2014-11-05 13:42:32

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Limits

What is that?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#9 2014-11-05 15:29:19

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#10 2014-11-07 13:21:13

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Limits

bobbym wrote:

Hi;

Is this the question?

Prove:

That does not make sense.


“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
The knowledge of some things as a function of age is a delta function.

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#11 2014-11-07 17:37:42

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

Why not?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#12 2014-11-07 23:25:20

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Limits

Because the left side does not have x at all. Should the limit operator be on the other side?


“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
The knowledge of some things as a function of age is a delta function.

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#13 2014-11-07 23:49:14

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

Oh, it is y -> 1


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#14 2014-11-08 00:26:24

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Limits

Still, the right side cannot contain y, then.


“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
The knowledge of some things as a function of age is a delta function.

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#15 2014-11-08 00:54:18

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

Oh, sorry just a minute


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

#16 2014-11-08 01:07:05

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

I'm sorry. Let me formulate the question correctly.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#17 2014-11-08 01:28:40

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Limits

Okay, I'll wait.


“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
The knowledge of some things as a function of age is a delta function.

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#18 2014-11-08 01:31:44

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits


evaluate

Last edited by Agnishom (2014-11-08 01:32:05)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

#19 2014-11-08 01:46:47

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Limits


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#20 2014-11-08 01:49:30

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Limits

I am getting 3/2.

L'Hopital is not needed here.

Last edited by anonimnystefy (2014-11-08 01:50:22)


“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
The knowledge of some things as a function of age is a delta function.

Offline

#21 2014-11-08 01:51:55

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Limits

Maybe, but by the teakettle principle it should be used.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#22 2014-11-08 02:02:01

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Limits

That principle does not apply 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
The knowledge of some things as a function of age is a delta function.

Offline

#23 2014-11-08 02:07:32

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

It sure does. I get the same thing too.

I need to do it without L'hospital


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

#24 2014-11-08 02:08:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Limits

It surely does.

I need to do it without L'hospital

You did not put that in the original problem!


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#25 2014-11-08 02:10:37

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,996
Website

Re: Limits

Put what?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Offline

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