Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2013-09-05 16:48:32
- Fruityloop
- Member
- Registered: 2009-05-18
- Posts: 143
12 year-old genius
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)
Offline
#2 2013-09-05 19:21:54
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: 12 year-old genius
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."
Offline
#3 2013-09-05 19:32:37
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#4 2013-09-05 20:05:59
- ElainaVW
- Member
- Registered: 2013-04-29
- Posts: 580
Re: 12 year-old genius
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 
Offline
#5 2013-09-06 00:33:35
- ShivamS
- Member
- Registered: 2011-02-07
- Posts: 3,648
Re: 12 year-old genius
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
Offline
#6 2013-09-06 00:55:27
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#7 2013-09-06 14:05:34
Re: 12 year-old genius
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'
I'm not crazy, my mother had me tested.
Offline
#8 2013-09-06 14:45:44
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#9 2013-09-06 15:26:53
Re: 12 year-old genius
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'
I'm not crazy, my mother had me tested.
Offline
#10 2013-09-06 15:33:31
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#11 2013-09-06 15:44:11
Re: 12 year-old genius
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'
I'm not crazy, my mother had me tested.
Offline
#12 2013-09-06 15:46:41
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#13 2013-09-06 15:58:13
Re: 12 year-old genius
No.
I'm actually confused about the whole thread
'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'
I'm not crazy, my mother had me tested.
Offline
#14 2013-09-06 16:00:26
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
What is confusing to you?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#15 2013-09-07 07:12:06
- ShivamS
- Member
- Registered: 2011-02-07
- Posts: 3,648
Re: 12 year-old genius
The fact is Jacob Barnett is a fake, immature, glory-seeking and spoiled child.
Offline
#16 2013-09-07 13:49:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
I thought his parents were kind of smug.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#17 2013-09-13 03:01:12
- ShivamS
- Member
- Registered: 2011-02-07
- Posts: 3,648
Re: 12 year-old genius
Look at this: now the wikipedia page identifies Barnett as a child prodigy.
Offline
#18 2013-09-15 01:42:03
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 12 year-old genius
I rather like this kid instead.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Pages: 1