Math Is Fun Forum

gAr

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Registered: 2011-01-09

Posts: 3,482

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."

anonimnystefy

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From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

hi gAr

Last edited by anonimnystefy (2011-12-16 05:43:20)

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“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.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

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."

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

hi gAr

yes i just got used to it somehow.sorry!!!

i'm not sure i know what you mean about the numerator.

Last edited by anonimnystefy (2011-08-05 01:32:20)

---

“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.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: Limits!

Hi anonimnystefy,

Okay, don't get used to anything, otherwise you can't think "out of the box"!

---

"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."

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

i understand that but what is the problem with it?

---

“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.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: Limits!

Are you sure you didn't notice?

This is your numerator and the first few values it gives, starting from 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."

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: Limits!

19)

Easy!

---

"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."

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

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.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

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."

reconsideryouranswer

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Registered: 2011-05-11

Posts: 171

Re: Limits!

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anonimnystefy

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From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

hi reconsideryouranswer

the first 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.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Limits!

19)

Easy!

Problem poser, you have to state what restrictions there are
on the variable constant, a.

Last edited by reconsideryouranswer (2011-08-09 13:28:24)

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anonimnystefy

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From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

hi guys

could you help me with:

i got a/b.is that correct?

Last edited by anonimnystefy (2011-08-08 09:40:07)

---

“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.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Limits!

hi guys

could you help me with:

i got a/b.is that correct?

Last edited by reconsideryouranswer (2011-08-08 13:59:34)

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gAr

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Registered: 2011-01-09

Posts: 3,482

Re: Limits!

Hi anonimnystefy,

Yes, that's correct.

---

"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."

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

hi guys

thank you for the responce.i used l'Hopital's rule as well but i got two b^x in the numerator,and also two a^x in the denominator.

---

“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.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Limits!

hi reconsideryouranswer the first one [post # 236]?

What idea(s) do you have to support this? As it is, it looks like "a stab in the dark."

You asked about "the first one" being the answer.

Suppose you were to look at it where n = 1:

This would eliminate your guess (my second case) and also my third case
out of the four cases.

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anonimnystefy

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Posts: 16,049

Re: Limits!

hi reconsideryouranswer

i assumed that the left hand side is greater than tried to prove it by induction.

---

“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.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Limits!

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Signature line:

I wish a had a more interesting signature line.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Limits!

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Signature line:

I wish a had a more interesting signature line.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

hi reconsideryouranswer

for the

are you surethat in the second one x shouldn't go to 2?

ig it is then i

Last edited by anonimnystefy (2011-08-11 01:00:06)

---

“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.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Limits!

hi reconsideryouranswer

for the

are you surethat in the second one x shouldn't go to 2?

ig it is then i

As far as the second one, x is supposed to approach 1, so that

it is of one of the indeterminate forms,

Another attempt for you, knowing this?

---------------------------------------------------------------------

As far as the first one, I got a different answer than you.

Last edited by reconsideryouranswer (2011-08-11 03:30:21)

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anonimnystefy

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From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Limits!

hi reconsideryouranswer

Last edited by anonimnystefy (2011-08-11 04:18:42)

---

“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.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Limits!

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Signature line:

I wish a had a more interesting signature line.