Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#151 2011-07-24 00:14:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

Hi;

I am getting that does exist because when you approach from both sides it still goes to zero, have you tried numerically?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#152 2011-07-24 00:22:12

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

you can approach the limit from infinitely many sides,but just because two of them match upo doesn't mean that it exists.if you substitute y=x than you get:


my answer of 1/4 isn't equal to your answer of 1 so the limit doesn't exist.

Last edited by anonimnystefy (2011-07-24 00:23:00)


“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

#153 2011-07-24 00:29:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

Hi;

Why can you say y = x?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#154 2011-07-24 00:32:17

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

hi

because (x,y) is apraching (0,0) we can come to that point along any line that goes through that point.and because y=x satisfies that condition we can use that line to calculate the limit.


“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

#155 2011-07-24 02:17:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

Hi;

I see what you are saying. Thanks for providing that.


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#156 2011-07-24 06:05:14

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

ure welcome.i didn't understand it at first.


“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

#157 2011-07-24 06:11:53

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

I forgot that. I was coming down the xy axes that has a limit of 0 but if you come down any other path to (0,0) then the limit will be something else. Simplest is y = x.


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#158 2011-07-26 02:52:46

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

hi gAr

how about some new limits?


“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

#159 2011-07-26 03:04:44

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

Re: Limits!

Hi anonimnystefy,

Those which I have are similar to the ones I have posted, and I dislike repetitions!


"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."

Offline

#160 2011-07-26 03:24:22

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

hi

so nothng?


“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

#161 2011-07-26 03:38:41

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

Re: Limits!

For now ...


"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."

Offline

#162 2011-07-26 03:41:28

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

now i am going away to cry sad.................................................i'm back.i feel better now.


“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

#163 2011-07-26 03:52:30

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

Re: Limits!

Cool!

If I repeat the problems, I'll cry!


"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."

Offline

#164 2011-07-26 21:42:11

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

Re: Limits!

15)


"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."

Offline

#165 2011-07-26 21:44:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

hi gAr

thanks for the problem

should we look at x as a constant or a variable  dependent of t?


“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

#166 2011-07-26 21:49:42

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

Re: Limits!

Hi anonimnystefy,


"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."

Offline

#167 2011-07-26 22:17:07

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,922

Re: Limits!

hi gAr

is this


“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

#168 2011-07-26 22:22:28

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

Re: Limits!

Hi,

No, that is ∞


"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."

Offline

#169 2011-07-26 22:24:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

Hi gAr;


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#170 2011-07-26 22:27:41

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

Re: Limits!


"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."

Offline

#171 2011-07-26 22:30:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

Hi gAr;


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#172 2011-07-26 22:40:11

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

Re: Limits!

Hi bobbym,

Okay. That must've been a lengthy solution.

It can be done in 3 or 4 steps using the hint.


"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."

Offline

#173 2011-07-27 20:50:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

Hi gAr;


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#174 2011-07-27 21:07:11

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

Re: Limits!

Last edited by gAr (2011-07-27 21:09:11)


"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."

Offline

#175 2011-07-27 21:11:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 95,967

Re: Limits!

Hi gAr;


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

Board footer

Powered by FluxBB