Infinity Definition and 988 Threads

We are all a part of reality. Reality is the state which results from events which we percieve as being real. To be real implies that events can be defined. Events that have the characteristic of being real can be replicated. If we are able to define something, then we can recreate it...

What is the limit of 1/x as x approaches 0. Is it infinity?

My book tolds me that: \lim_{n\rightarrow\infty} \frac{n(n+1)}{2n^2}= \frac{1}{2}. I don't get it. Maybe this with infinity, I dunno... Please, help!

Hi, could you help me a bit with this limit? \lim_{n \rightarrow \infty} \sqrt[n]{n!} Sure it should be more than \lim_{n \rightarrow \infty} \sqrt[n]{n} But, when I write it as \lim_{n \rightarrow \infty} \sqrt[n]{n!} = \lim_{n \rightarrow \infty} \sqrt[n]{n} ...

does it make sense if i define that the shape of a circle is infinity, which i write its equation as: x^2+y^2 = ∞ i know that infinity means very very big until we cannot define how big is it. in this case, is the equation above still valid? can i still say that the shape of this...

Yep, so infinity is a number or not? Does is exist in reality or not? If it exist can we reach it or not? I have someopinions about this issue, which i cannot promotew it to be "unarguable facts". I want to hear others views on this issue... Cheerz,

By definition, an infinite set is a set whose subset is proportional to the set which contains it. The sequence of numbers whether it be expressed as (n+1) or not, is infinite. Then (I am veturing into grounds I know little of here...) I am guessing it is safe to say that the numbers (n+1< or...

I need to know about how mathematics works with infinity. I am currently reading up on this but it could take me a few weeks to finish this book. Ex: You are created, standing in space. You are flipping a coin over and over for infinity. You thus flip the coin an infinite amount of times...

Here is the question that was plaguing me: If there was an infinitely small chance of something happening, but an infinitely large test area, and and infinitely small amount of time for it to happen in, how many times would it happen? Now, i am not sure how infinity can be used in...

I know i posted this to all the general physics area, but I want an answer by pure mathematicians also so please don't throw this out mentors, i love yall though, just trying to do your job... OK, basically I would like a mathematican or just a smart mathematical person ot explain infinity to...

What are the implications of Infinity in Physics, such as QP, GR, SR. Like i know infinity leads us to black holes and other things. Do they do not pose a serious problem to physics. If anyone can give me some insights of dealing with infinity please do because to me the implications...

Hello, There is a question in Calculus By James Stewart (5e) that says: Find the horizontal and vertical asympotes of y = \frac{x^2 + 4}{x^2 - 1}} I put it in limit as \lim_{\substack{x\rightarrow \infty}} \frac{x^2 + 4}{x^2 - 1}} and divided the numeratir abd denominator byx^2...

Hi all ! I came across an article (link: http://www.math.toronto.edu/mathnet/answers/infinity.html#2) The article states that in the context of a number system, infinity does not exist. Now, being the dimwit that I am, I just wanted to ask/confirm this: I THINK the article is saying...

Please give me some hints: Sum of (i^2)/(4^i) where i is from 0 to infinity.

Here's an old one: starting with 0 (or 1) list all the natural numbers using nothing but 4 4s. I'll go first. 0 = (4 - 4)/(4*4) 1 = (4*4)/(4*4) 2 = (4*4)/(4*sqrt(4)) ... etc

I had an elightening conversation with my calculus teach this past friday we were arguing whether X/0= infinity. we ran out of time, but i wasn't satisfied that when i came up this: Assuming that ALL lines are in fact circles (Bye Bye Euclid) and Infinity is an equal distance from all...

Why does a parabola close at infinity? A science teacher made this statement and I didn't quite get it. :confused: Thanks!

Anyone know how to solve the following problems? Thanks! 1.) An object is placed 12 cm to the left of a diverging lens of focal length -6cm. A converging lens of focal length 12 cm is placed a distance of d to the right of the diverging lens. Find the distance d that places the final image...

Please help me wrap my head around this concept... I don't really need help on a problem in particular. If we define electric potential V to be zero at r = infinity for a point charge, how can we determine the potential difference of a test charge that moves from infinity to a specific point...

Hi, I am having difficulties trying to adopt the formal definition of Limits as x -> infinity. I will simply try to explain my problem using an example. The Formal Definition of Limits as x -> infinity is as follows: Limit of f(x) as x -> infinity = L, iff we can find M such that x > M...

Can the product of zero and infinity be defined as a finite quantity? The differential calculus makes the limit approach to zero possible (existence of a derivative). The integral calculus makes the limit approach to infinity possible (convergence of infinite series).

When you charge a capacitor, the current through is given by: I(t) = I_0e^{-\frac{t}{RC}} Let's say that k = \frac{1}{RC} so we can simply things to: I(t) = I_0e^{-kt} Theoretically, it should take the capacitor infinite time fully charge, at which point the current through it will be...

Some of my classmates were mentioning today that there are "different" values for infinity, like there is more than one infinity... can someone please help me? explain exactly what that means and what these values are please

is the electric field zero at points other than the middle of two simillar polarity charges and also other than infinity? if it can be zero then at waht points?

Infinity and negative infinity are widely known to be equal. So, with that premise, I shall continue. To extend the number line infinitely along the positive direction results in infinity. To extend it in the negative direction results in negative infinity. These two infinities are equal-...

Zero and Infinity In mathematics, we see these two numbers appear almost always as the end points of some limiting processes. We see zero in the definition of a derivative in calculus. We see infinity in the math of infinite series. In this discussion, we will try to see these extreme numbers...

I have often heard throughout these forums that in order for a concept to be considered true, there must be some evidence of it. Great. Makes sense to me. So, what evidence is there for Infinity? Hmmm... I truly cannot think of a single process or event in the real world which is not...

TUZFC the general idea is to find a way to axiomatize a universal set into existence in a way that doesn't contradict other axioms. there are potential ways this might be done, including 1. changing the subsets axiom 2. using ternary logic and changing all axioms 1 would go something...

Suppose f is a differential function for which limit as x-> infinity f(x) and limit x->infinity f'(x) both exists and are finite. Which of the following must be true? A. limit x-> infinity f'(x) = 0. B. limit x0> infinity f''(x) = 0 C. limit x-> infinity f'(x) = limit x-> infinity f'(x)...

Hi. I'm a freshman in High school, and my algebra teacher gave me a problem. She said that .9 repeating = 1 Now apart from all the ways this didn't make sense to me, I thought of a way that might make it not work. If you were to put something like .0 [infinity of 0's] 1, wouldn't that be able to...

Please forgive any ignorance on my part because this is a little new to me... I was just thinking that if we examine All of the numbers from .1 <= x < 1 that we see all possible sequences of numbers. when we change powers of 10 all we do is make that sequence of numbers more precise i.e. 12.3...

examples of "infinity" in the physical world Can anyone give me examples of "infinity" in the physical world around us? Ie. evidence of its existence as more than merely a mathematical concept.

anyone know of a proof for this? here's my best guess... if you think of "infinity" as an actual "place" (for example, you could say that x is at infinity), then i could kinda see how 2 parallel lines could meet. if you think of "infinity" as only "approachable" (ie x is approaching...

Exists two varieties of infinity. 1) Illusory infinity. This infinity of the expansion. This process of the endless multiplying of the zero. If a zero is absolute that this process will not change nothing. The Zero will remain the Zero. For this reason interesting idea was invented...

i'm talking about droping a ball into a free fall under assumption that it can pass thru the Earth's center all the way to minus height point. case 1:if you say that the force at the dropping point is F=G(/m/R)(M/R)<>0 then the equilibrium point is the center of the earth.but when the ball...

What is infinity? How can something infinite expand? Once and for all, how can we conclude that the universe is infinite? The fact that the universe is infinite may contradict brane theory. Consequently, could it be tenable to suggest that this brane is a subuniverse? Of course, the idea of an...

1 / infinity = ?is there anything that we can reduce this to? (i doubt there is, but you never know)well, it's REALLY close to 0 for all practical purposes 1 / infinity = 0 ================ just thought of something! ok, start with 1 / infinity = x 1 = x * infinity ~~~~~ analyze this ^^ x...

I didn't get to copy my original thread about this, so I will restate my reasoning here: Wuliheron has repeatedly brought up the "limitlessness paradox", to show that infinity was paradoxical. However, I posit that, since "infinity" does not mean "limitless", this paradox doesn't apply...