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#326 2012-02-17 08:36:13
- bobbym
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Re: Limits!
Correct! Wanted to see if you were sure.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#327 2012-02-17 08:36:49
- anonimnystefy
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Re: Limits!
you sneaky little... 
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#328 2012-02-17 08:43:53
- bobbym
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Re: Limits!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#329 2012-02-17 09:00:18
- anonimnystefy
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Re: Limits!
hi bobbym
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#330 2012-02-17 09:03:22
- bobbym
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Re: Limits!
Correct!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#331 2012-02-17 09:06:09
- anonimnystefy
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Re: Limits!
hi bobbym
why are you giving these easy ones?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#332 2012-02-17 09:10:59
- bobbym
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Re: Limits!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#333 2012-02-17 09:17:09
- anonimnystefy
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Re: Limits!
hi bobbym
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#334 2012-02-17 09:17:48
- bobbym
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Re: Limits!
Not true.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#335 2012-02-17 09:35:24
- anonimnystefy
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Re: Limits!
no?but wolfram said that they don't converge.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#336 2012-02-17 09:36:49
- bobbym
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Re: Limits!
What did you enter?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#337 2012-02-17 09:45:12
- anonimnystefy
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Re: Limits!
is the ans 0?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#338 2012-02-17 09:46:54
- bobbym
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Re: Limits!
Yes, and there is a very good argument for that.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#339 2012-02-17 09:50:49
- anonimnystefy
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Re: Limits!
and that is?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#340 2012-02-17 09:57:27
- bobbym
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Re: Limits!
Do you agree that we can write the above limit in this more convenient form:
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#341 2012-02-17 10:03:51
- anonimnystefy
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Re: Limits!
yes...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#342 2012-02-17 10:07:53
- bobbym
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Re: Limits!
Have you heard of Stirling's formula or approximation?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#343 2012-02-17 10:14:42
- anonimnystefy
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Re: Limits!
no,but i know that e^n is O(n^(n+1/2))
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#344 2012-02-17 10:19:16
- bobbym
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Re: Limits!
Okay, Stirling's formula was discovered by James Stirling and is a very good approximation for factorials. It is used quite often in many fields of mathematiocs.
1)First convince yourself that
f(100) is a good approximation of 100!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#345 2012-02-17 10:33:21
- anonimnystefy
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Re: Limits!
ok
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#346 2012-02-17 10:41:34
- bobbym
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Re: Limits!
Now it is important to understand that
but more importantly
This means that Stirling's formula becomes a better and better approximation of n! the larger n gets.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#347 2012-02-17 10:43:57
- anonimnystefy
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Re: Limits!
ok.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#348 2012-02-17 10:46:45
- bobbym
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Re: Limits!
Remember the result in #340?
and Stirlings formula?
Does not the RHS of 1) look like the LHS of 2 inverted?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#349 2012-02-17 10:49:24
- anonimnystefy
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Re: Limits!
it does.so our limit is:
Last edited by anonimnystefy (2012-02-17 10:49:51)
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#350 2012-02-17 10:52:32
- bobbym
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Re: Limits!
That is close:
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.