Math Is Fun Forum
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#76 2014-11-22 02:03:50
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
You had no wish to get married to her. Had you?
I was madly in love with her, I was 11.
What theory?
Better one day as a lion that one hundred years as a lamb. -Jack TreeTop Strauss
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.
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#77 2014-11-22 02:06:51
Re: Limits
Why didn't you try anoter girl?
It does not help me solving a limit problem.
'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.
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#78 2014-11-22 02:10:09
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
The American Indians say that a man in love hunts like a coyote.
It does not help me solving a limit problem.
We are out here in the real world, we are not in some classroom. How do you think those two people came up with 1?
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.
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#79 2014-11-22 02:30:24
Re: Limits
We are in a Matrix.
I do not know. I cannot get Mathematica to simplify the expression.
'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.
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#80 2014-11-22 02:34:48
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Hahahahhahahahhahahahhahah! That is very good.
Judge me by my mathematica? When you should not for my ally is EM and a powerful ally it is.- Yoda
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.
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#81 2014-11-22 02:38:45
Re: Limits
I cannot do it by Geogebra.
If Geogebra cannot do it, no one can. -bobbym
'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.
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#82 2014-11-22 02:41:14
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
You are killing me, actually causing spleen damage with such humor early in the morning.
Then those two people, right or wrong are magicians?
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.
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#83 2014-11-22 02:47:21
Re: Limits
Good morning, bobbym 
I have no reason to believe that it is 1
'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.
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#84 2014-11-22 02:49:23
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Hmmm, you do not find it suspicious to your nature that two people on opposite sides of the world came up with that answer?
You prefer just handing in a big empty space rather than their answer?
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.
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#85 2014-11-22 03:01:21
Re: Limits
No body gave the answer 1, it is in a textbook.
No, I do not prefer it. How do i evaluate the limit?
In a non-computer worle, there are just a few numbers like e, pi, 0, 1, sqrt(2$), etc.
'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.
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#86 2014-11-22 03:15:04
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Ever taken the nth root of any number? What did you observe?
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.
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#87 2014-11-22 03:16:58
Re: Limits
As n->oo, nth root of the number tends to 1.
Isn't 1^oo an indeterminate form?
'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.
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#88 2014-11-22 03:18:16
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
I do not think this is 1^∞.
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.
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#89 2014-11-22 03:23:20
Re: Limits
When you plugin x = 0 what do you get?
'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.
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#90 2014-11-22 03:25:04
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
I do not know but why are you plugging in x = 0 when the limit is to infinity?
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.
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#91 2014-11-22 03:28:54
Re: Limits
Oh, I overlooked that.
Anyway, the thing inside is oscillating, how do you know what happens to it, when you reach infinity?
'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.
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#92 2014-11-22 03:35:48
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
I do not know, I am just asking why the book gets that answer too.
Trying it numerically I can not get any oscillation. Everything goes to 1.
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.
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#93 2014-11-22 03:39:34
Re: Limits
Mind showing me your numerical work?
'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.
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#94 2014-11-22 03:44:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
I do not know what she did or what the book did but here is what I have been trying...
N[(Cos[x] + a*Sin[b*x])^(1/x) /. x -> 10000001 /. a -> -79 /.
b -> (3 + 1/2), 40]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.
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#95 2014-11-22 13:24:47
Re: Limits
That is just testing at one point
'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.
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#96 2014-11-22 13:26:35
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Oh boy! Change the values to anything you like. We are looking for some evidence of the conjecture that the limit is 1. We are looking for a counterexample.
Experimenting (playing) leads to new ideas. First we would like to test more numbers without having to put them in manually. How would you do that?
We notice on some examples that a complex number seems to be produced. But is this imaginary term a fungus as Forman calls it or does it really exist?
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.
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#97 2014-11-22 13:49:36
Re: Limits
It could exist, if the number inside is negative...
'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.
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#98 2014-11-22 13:52:27
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Hmmm, you sound like an undergrad when you say things like that.
You have not tried a single example but you are sure of that? This is a good test problem for you. You do not know how to do the limit so naturally you are scouring the net for how to do it. You hope to find some means but what if you do not?
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.
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#99 2014-11-22 13:57:05
Re: Limits
Have you plotted the function?
'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.
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#100 2014-11-22 14:00:33
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Forget the plot, it tells nothing about how this thing behaves for large x.
This is a good test problem for you. You do not know how to do the limit so naturally you are scouring the net for how to do it. You hope to find some means but what if you do not?
Have you actually tried raising a negative number up to a large power? Try - (1 / 2).
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.
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