poopo wrote:
Anything divided by zero = infinity.
No it doesn't, it just can't be answered
If 5/0=infinity, that'd mean infinity*0=5 which isn't true
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it doesnt work that way because dividing by 0 would have to be infinity and negative infinity at the same time (basically)
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Also, you firstly can't really use infinity in an equation since it has no true value, and 0.0000000...1 doesn't really exist either, since you can't have infinite 0s followed by a 1 because then the 0s wouldn't be infinite
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what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at all
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poopo wrote:
Anything divided by zero = infinity.
the problem with that idea is that no matter how many 0's you pile up youll never get anything more than 0
in order for x/0 to have any real value youd need numbers that increase the value of 0 when multiplied and those numbers, to my knowledge, dont exist
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a number infinitely close to 0 is equal to 0 based on the definition of a limit, and also based on the definition of infinity the number you wrote (0.000...1) cannot exist since it ends.
also anything divided by 0 is not infinity. take for example 1/0 is undefined on the basis of a limit, since there is an asymptote. but taking only the right side of the graph, it does indeed approach infinity.
take for example, 0/0. this is an indeterminate form, and it could equal anything. for example, the graph (x-1)/(x^2-1) has a hole at 1.
(1-1)/(1-1) = 0/0
but in the context of a limit, you can make a cancellation.
simplify to
(x-1)/(x+1)(x-1)
cancel (x-1) (legal within context of a limit)
you now have 1/(x+1)
and the value at 1 is 1/2
so in this case, 0/0 = (.5 * 0)/0
with indeterminate form ,you never know what number is in the top (where .5 is)
and when you cancel the 0s (legal in limits) you can get any number.
so 0/0 could be anything depending on the problem
(sources: i am in calculus and looked at my notes)
Last edited by Wes64 (2013-01-04 21:33:56)
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777w wrote:
what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at all
Theoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equation
Last edited by RedRocker227 (2013-01-04 21:18:36)
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RedRocker227 wrote:
777w wrote:
what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at allTheoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equation
I agree with you there. I don't think infinity can be a number, because infinity+1 is still infinity. Infinity is... well.... infinite. You can always add more numbers on to infinity.
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Mokat wrote:
RedRocker227 wrote:
777w wrote:
what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at allTheoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equation
I agree with you there. I don't think infinity can be a number, because infinity+1 is still infinity. Infinity is... well.... infinite. You can always add more numbers on to infinity.
actually i asked my math teacher about it once and she told me infinity plus 1 isnt infinity, its infinity plus 1
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Technically, 0/0 SHOULD equal 1/1. This is getting rather offtopic.
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Mokat wrote:
RedRocker227 wrote:
777w wrote:
what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at allTheoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equation
I agree with you there. I don't think infinity can be a number, because infinity+1 is still infinity. Infinity is... well.... infinite. You can always add more numbers on to infinity.
you're right. infinity is the same as undefined. but infinity minus itself should equal 0 on the basis of this function
f(x) = x-x
lim f(x) as x approaches infinity = 0.
Firedrake969 wrote:
Technically, 0/0 SHOULD equal 1/1. This is getting rather offtopic.
no, that's indeterminate form. see my big post above.
777w wrote:
actually i asked my math teacher about it once and she told me infinity plus 1 isnt infinity, its infinity plus 1
that is wrong. you cannot go higher than infinity, because you cannot reach infinity, you can only approach it.
Last edited by Wes64 (2013-01-04 21:25:10)
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Wes64 wrote:
Mokat wrote:
RedRocker227 wrote:
Theoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equationI agree with you there. I don't think infinity can be a number, because infinity+1 is still infinity. Infinity is... well.... infinite. You can always add more numbers on to infinity.
you're right. infinity is the same as undefined. but infinity minus itself should equal 0 on the basis of this function
f(x) = x-x
lim f(x) as x approaches infinity = 0.Firedrake969 wrote:
Technically, 0/0 SHOULD equal 1/1. This is getting rather offtopic.
no, that's indeterminate form. see my big post above.
777w wrote:
actually i asked my math teacher about it once and she told me infinity plus 1 isnt infinity, its infinity plus 1
that is wrong. you cannot go higher than infinity, because you cannot reach infinity, you can only approach it.
Infinity isn't even a number.
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Firedrake969 wrote:
Infinity isn't even a number.
that has nothing to do with anything i said. it is true, infinity is undefined. but it can still be used in calculation especially with limits. my math is legal.
Last edited by Wes64 (2013-01-04 21:29:51)
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Wes64 wrote:
Firedrake969 wrote:
Infinity isn't even a number.
that has nothing to do with anything i said. it is true, infinity is undefined. but it can still be used in calculation especially with limits. my math is legal.
You can't have infinity + 1, I mean.
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Firedrake969 wrote:
Wes64 wrote:
Firedrake969 wrote:
Infinity isn't even a number.
that has nothing to do with anything i said. it is true, infinity is undefined. but it can still be used in calculation especially with limits. my math is legal.
You can't have infinity + 1, I mean.
It equals infinity. Yet, that infinity - normal infinity = 1
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Firedrake969 wrote:
Technically, 0/0 SHOULD equal 1/1. This is getting rather offtopic.
The topic is infinity, not just my problem.
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RoboNeo9 wrote:
Firedrake969 wrote:
Wes64 wrote:
that has nothing to do with anything i said. it is true, infinity is undefined. but it can still be used in calculation especially with limits. my math is legal.You can't have infinity + 1, I mean.
It equals infinity. Yet, that infinity - normal infinity = 1
You can't do infinity+1
As Wes64 said, you can never get to infinity so adding to it is pointless and impossible
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RoboNeo9 wrote:
Firedrake969 wrote:
Wes64 wrote:
that has nothing to do with anything i said. it is true, infinity is undefined. but it can still be used in calculation especially with limits. my math is legal.You can't have infinity + 1, I mean.
It equals infinity. Yet, that infinity - normal infinity = 1
Wrong. Infinity has some rather odd math associated with it. For example, infinity-infinity=infinity. Yes, you read that right. So (infinity+1)-infinity=infinity.
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RedRocker227 wrote:
777w wrote:
what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at allTheoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equation
That's assuming infinity has a value. Infinity+(-infinity)=infinity-infinity=infinity. Done.
Edit: Oh yes, and negative infinity is a contradiction. "Negative" is compatible with "infinity" in neither this universe, nor, I'm pretty sure, in any other.
Last edited by lalala3 (2013-01-04 22:59:53)
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lalala3 wrote:
RedRocker227 wrote:
777w wrote:
what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at allTheoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equation
That's assuming infinity has a value. Infinity+(-infinity)=infinity-infinity=infinity. Done.
Edit: Oh yes, and negative infinity is a contradiction. "Negative" is compatible with "infinity" in neither this universe, nor, I'm pretty sure, in any other.
Why not? You can always add more, which is kind of the concept of infinity, you can also always take away more
I'm confused, why can you not have a negative infinity
Last edited by RedRocker227 (2013-01-04 23:11:47)
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There are two answers:1 and 0. An infinitesimal is the recipricol of infinity.
so if you do the fraction way, you would get infinity over infinity. Each infinity would be the same size so the answer is 1. But if you solve it with decimals, an infinitesimal is equal to zero, so infinity times 0 equals 0.
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lalala3 wrote:
RedRocker227 wrote:
777w wrote:
what would infinity and negative infinity produce when added together
would they cancel each other out or would there be no answer at allTheoretically it'd equal 0 I suppose (since a number added to its negative equivalent is always 0) but I still think you can't/shouldn't use infinity in an equation
That's assuming infinity has a value. Infinity+(-infinity)=infinity-infinity=infinity. Done.
Edit: Oh yes, and negative infinity is a contradiction. "Negative" is compatible with "infinity" in neither this universe, nor, I'm pretty sure, in any other.
In one universe, the word infinity means bath. The word bath there means dog. The word dog there means computer. etc. etc.
Infinity isn't a number, because if it were, it'd be a paradox. It would be impossible to has any integers, because there would only be infinity.
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