Cool.
1/infinity is not equal, to 0
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I don’t see 1/♾️ here anywhere besides when you multiply it by infinity, making it not 1/♾️
Mar 24, 2023
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#5
If + or - (1/♾️) equals 0, which it does not.
Then +/- ♾️ shall equal 1/0, which it does.
A bit of a paradox.
Mar 26, 2023
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#6
I know it's a joke, but I had to look it up. Infinity is not a number, therefore, 1/infinity is undefined. ***** "We can see from the graph of 1/x that as x approaches infinity, f(x)=1/x approaches 0. Therefore, solving 1/infinity is the same as solving for the limit of 1/x as x approaches infinity. Thus, using the definition of limit, 1 divided by infinity is equal to 0."
Mar 26, 2023
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#7
pcwildman wrote:
I know it's a joke, but I had to look it up. Infinity is not a number, therefore, 1/infinity is undefined. ***** "We can see from the graph of 1/x that as x approaches infinity, f(x)=1/x approaches 0. Therefore, solving 1/infinity is the same as solving for the limit of 1/x as x approaches infinity. Thus, using the definition of limit, 1 divided by infinity is equal to 0."
Nope Sir,
(1/♾️)^-1=♾️
While
(-1/♾️)^-1=- ♾️
Showing that they do differ, and cannot equal the same amount, or only Zero.
I have to remind this a lot, but the limit does not describe what happens at the x-input. It ONLY describes what happens as the input approaches that number. Unfortunately, people who take too much calculus forget this.
1/infinity is an infinitesimal, but not 0.
1/infinity is an infinitesimal, but not 0.
Mar 26, 2023
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#9
Lincoy3304 wrote:
I have to remind this a lot, but the limit does not describe what happens at the x-input. It ONLY describes what happens as the input approaches that number. Unfortunately, people who take too much calculus forget this.
1/infinity is an infinitesimal, but not 0.
1/infinity is an infinitesimal, but not 0.
Quite true, Lincoy, quite true.
Mar 26, 2023
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#10
1/x only approaches 0, as x approaches infinity. It will never reach infinity, therefore 1/x will never reach 0. Which is what you said. Now I'm thoroughly confused. It's the Geriatric Math Channel, brought to you by Geritol. I'm 65. I don't think anybody can ever have too much calculus. 😁
Mar 26, 2023
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#11
Don't bother trying to explain, I'm just kidding. So by definition, with limits it is 0, however a rational look at the equation indicates that it can never be 0. You still can't just use infinity as if it's a number.
Mar 26, 2023
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#12
I think theory is saying, for all practical purposes the answer is 0. But, why be normal?
Mar 28, 2023
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#13
I got to wondering what Chat GPT might say if you asked it the answer to one over infinity. Anyone have access? It's so new I haven't even checked out how to hook into it.
You just look up openai then go to ChaTtGPT.
But limits again don’t describe what happens at that spot. There is some theoretical use, but very little. The theoretical use is used in undergrad math a small amount but much more if you want to get a masters or doctorate in set theory or, I’m not even sure if this is it’s own doctorate, but infinities.
But limits again don’t describe what happens at that spot. There is some theoretical use, but very little. The theoretical use is used in undergrad math a small amount but much more if you want to get a masters or doctorate in set theory or, I’m not even sure if this is it’s own doctorate, but infinities.
Mar 29, 2023
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#15
Thanks, Lincoy. I just read a passage in an old post saying that infinity is not an observable phenomena, which I'm going to have to do some thinking over. I never thought about it. We can't "observe" the endless digits of pi, or the possibly(?) infinite Universe. Infinity is a theoretical construct. I love this stuff.
Mar 29, 2023
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#16
Chat GPT just came back and said that infinity is not considered a number, rather an idea of something that is unbounded or limitless. Then it goes on to talk about the limit solution. This is going to be fun. I remember the first Eliza AI program on the first Mac. So we've come all the way from Eliza (c. 1986) to Chat GPT.
Mar 29, 2023
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#17
Now CGPT is a bit of a disappointment. No Skynet possibilities here. It was very non-committal, a bit "stupid", and seemed locked into "safe" statements about any one subject. This could be due to a limited knowledge base. I argued the Megafauna extinction.
Mar 29, 2023
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#18
pcwildman wrote:
Chat GPT just came back and said that infinity is not considered a number, rather an idea of something that is unbounded or limitless. Then it goes on to talk about the limit solution. This is going to be fun. I remember the first Eliza AI program on the first Mac. So we've come all the way from Eliza (c. 1986) to Chat GPT.
Infinity may not be a number, but infinity + (-1)^0.5
sort only is.
That is also not a number because the real part of a complex number has to be a number to be a complex number. Infinity is a concept, not a number.
Infinity*(1/infinity)=infinity/infinity - Any positive Real.
While 0*infinity=(1-1)*infinity=infinity-infinity, Is any positive, 0 value, or negative Real.
Demonstrating once again, that 1/infinity Does not equal 0 !