y = 1/x. Then ask the question: where does this graph touch the x axis? The answer is both + infinity and - infinity. In other words the reciprocals of + and - infinity are both zero, causing + and - infinity to look as being equal.
Another interesting way of viewing this is as follows:
Many graphs are continuous, i.e. there is one line continues without breaking. However this graph is discontinuous at the x and axes which it never meets …… until + or - infinity.
Now a way of looking at how these two separate parts of this hyperbola could join to make one continuous line would be to look at the x and y axes as being curved (with an infinite radius) to ultimately join up. If this occurred then -infinity would join up with +infinity on both axes, and the graph would be a continuous function in both vertical and horizontal directions.
In some ways it is a natural way to look at it, as it is said that space is curved anyway, so in reality + and - infinity seem to be the same thing.
You’re not teaching me anything other than things I know aren’t true on a universal level. Our taught math is completely based and adapted around smaller scale numbers and that’s why you don’t learn how infinity actually works cause for what you’ll use it will seem correct at your scale. But not on a larger universal all-included scale. At that level you need to basically be able to grasp the actual concept of infinity,… 🤷♂️
Try doing something more than your basic calculus.
My guy, not only are you wrong but the more you try to explain yourself the more you are revealing you don’t understand the subject. The evidence you are bringing up is supporting the premise of infinity not being a value. You are coming to the exact wrong conclusion.
I have a BA in mathematics and a masters in teaching mathematics. I am highly qualified to speak on this. Trust me, you’re wrong.
0ops@lemm.ee 1 year ago
That’s how you approach it, with ever increasing real numbers. Take a calculus class, I’m done teaching you for free
doctorn@r.nf 1 year ago
consider the graph below which is
y = 1/x. Then ask the question: where does this graph touch the x axis? The answer is both + infinity and - infinity. In other words the reciprocals of + and - infinity are both zero, causing + and - infinity to look as being equal.
Another interesting way of viewing this is as follows:
Many graphs are continuous, i.e. there is one line continues without breaking. However this graph is discontinuous at the x and axes which it never meets …… until + or - infinity.
Now a way of looking at how these two separate parts of this hyperbola could join to make one continuous line would be to look at the x and y axes as being curved (with an infinite radius) to ultimately join up. If this occurred then -infinity would join up with +infinity on both axes, and the graph would be a continuous function in both vertical and horizontal directions.
In some ways it is a natural way to look at it, as it is said that space is curved anyway, so in reality + and - infinity seem to be the same thing.
Image
doctorn@r.nf 1 year ago
You’re not teaching me anything other than things I know aren’t true on a universal level. Our taught math is completely based and adapted around smaller scale numbers and that’s why you don’t learn how infinity actually works cause for what you’ll use it will seem correct at your scale. But not on a larger universal all-included scale. At that level you need to basically be able to grasp the actual concept of infinity,… 🤷♂️ Try doing something more than your basic calculus.
MacGuffin94@lemmy.world 1 year ago
My guy, not only are you wrong but the more you try to explain yourself the more you are revealing you don’t understand the subject. The evidence you are bringing up is supporting the premise of infinity not being a value. You are coming to the exact wrong conclusion.
I have a BA in mathematics and a masters in teaching mathematics. I am highly qualified to speak on this. Trust me, you’re wrong.