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

You are not logged in.

## #1 2011-06-27 05:27:18

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

### Limits!

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."

Offline

## #2 2011-06-27 05:55:07

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

hi gAr

thanks for opening the topic!
I needed 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

## #3 2011-06-27 06:05:45

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

I'm not sure i know how to do this one but it shoud be e^(1/6).

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

## #4 2011-06-27 06:09:37

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

### Re: Limits!

Hi anonimnystefy,

You're welcome!

"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

## #5 2011-06-27 06:41:34

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

hi gAr

I still can't seem to get it

All I got is the given expression is the same as

and

Last edited by anonimnystefy (2011-07-26 22:41:42)

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

## #6 2011-06-27 15:22:37

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

### Re: Limits!

Hi anonimnystefy,

Last edited by gAr (2011-06-27 15:23:41)

"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

## #7 2011-06-27 15:37:30

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,389

### Re: Limits!

Hi all;

Wunderbar!

I think it is obvious that gAr has the Ramanujan touch! Even his typos are cool.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

Offline

## #8 2011-06-27 15:43:55

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

### Re: Limits!

Hi bobbym,

I'm nowhere near Ramanujan!
That typo wasn't deliberate, but glancing at that I too think it's cool!

"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

## #9 2011-06-27 20:42:35

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

### Re: Limits!

2)

"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

## #10 2011-06-27 23:01:16

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

hi gAr

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

## #11 2011-06-27 23:08:10

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

### Re: Limits!

Hi anonimnystefy,

Have you studied integration?

"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

## #12 2011-06-27 23:14:12

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

nope.

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

## #13 2011-06-27 23:29:27

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,389

### 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.
No great discovery was ever made without a bold guess.

Offline

## #14 2011-06-27 23:38:37

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

### Re: Limits!

Okay.
Anyway, I'll tell briefly the concept of getting the answer.
Learn during your spare time. Very interesting!

Hi bobbym,

That's correct !

Last edited by gAr (2011-06-27 23:39:40)

"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

## #15 2011-06-27 23:47:22

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

hi gAr

think i get it.
i have read something on integrals but thats only the basic stuff.For example i wouldn't know how to calculate ∫1/(a^2+x^2)dx

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

## #16 2011-06-27 23:56:06

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

### Re: Limits!

Hi anonimnystefy,

That's great!
But before going to integrals, know differentiation clearly.
Otherwise you'll have trouble remembering some results!

"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

## #17 2011-06-28 00:01:13

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

hi gAr

the only problem i have with diff. is i have difficulties when it comes to products and function composition.

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

## #18 2011-06-28 00:08:12

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

### Re: Limits!

For example?

"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

## #19 2011-06-28 00:31:54

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

I got confuzed with derivative of:

I got it in the end but a little harder than it maybe should be.

Last edited by anonimnystefy (2011-06-28 00:32:04)

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

## #20 2011-06-28 00:48:28

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

### Re: Limits!

I always take logarithms and then take derivative for such problems!
Extra effort is during simplification, but easier than quotient 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."

Offline

## #21 2011-06-28 01:11:56

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

So how would you do this one?

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

## #22 2011-06-28 01:22:57

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

### 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."

Offline

## #23 2011-06-28 01:24:19

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

### Re: Limits!

Hi anonimnystefy,

This one is for you!

Offline

## #24 2011-06-28 01:36:46

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

### Re: Limits!

I think it should be \lim_{x\to-\infty}.

Last edited by anonimnystefy (2011-06-28 01:37:55)

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

## #25 2011-06-28 01:45:53

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