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**Fruityloop****Member**- Registered: 2009-05-18
- Posts: 120

http://www.youtube.com/watch?v=hBW4S9xcTOk

This 12 year-old is asked to prove the convergence of the following...

Just looking at this.. since sin and cos vary between -1 and 1 there doesn't seem to be any way for this series to converge.

Any thoughts?

*Last edited by Fruityloop (2013-09-06 13:24:05)*

The eclipses from Algol (an eclipsing binary star) come further apart in time when the Earth is moving away from Algol and closer together in time when the Earth is moving towards Algol, thereby proving that the speed of light is variable and that Einstein's Special Theory of Relativity is wrong.

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

You are right, it's a periodic function, hence does not converge.

"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."

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

Hi Fruityloop;

I do not believe that converges.

I also do not like him using the integral test which is only for series with positive terms that are monotone decreasing. This series does not apply.

Please take a look at these comments from one of the geniuses that come in here everyday.

http://www.mathisfunforum.com/viewtopic … 21#p258621

Post #22 onwards.

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

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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 437

What a charming little tyke. Isn't he adorable?

I noticed his IQ was higher than yours m.

I sure wished they had let him go on trying to prove that sum is convergent

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,640

bobbym wrote:

geniuses that come in here everyday.

Oh wow! Now I have a swollen head. Anyways, look at this: http://www.thescienceforum.com/physics/22406-does-jake-barnett-know-what-hes-talking-about.html

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

He certainly is a busy little guy. You can not have a swollen melon.

I noticed his IQ was higher than yours m.

Yea, but I am better looking.

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

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bobbym wrote:

Yea, but I am better looking.

Why should that count?

'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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

It does not count. I was making a little joke and perhaps responding to the comment.

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

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Ok.

'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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

Hi;

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

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seems complex and even complicated

'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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

And funny too, don't you think?

Did you watch the video of Jake?

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

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No.

I'm actually confused about the whole thread

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

What is confusing to you?

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

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,640

The fact is Jacob Barnett is a fake, immature, glory-seeking and spoiled child.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

I thought his parents were kind of smug.

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

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,640

Look at this: now the wikipedia page identifies Barnett as a child prodigy.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,935

I rather like this kid instead.

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

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