Gotcha!, but might be called Aha! By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. You may as well ask, ‘What is truth divided by beauty?’ I have no clue. Active 4 years, 2 months ago. Moreover, there are different orders of infinity. A handy list of the other indeterminate forms is given by Wikepedia. Infinity isn't a number, it's a concept. Also in set theory or some other fun class, you can learn fun stuff like the number of integers is the same as the number of rational numbers, but the number of real numbers if larger. To learn more, see our tips on writing great answers. After all, any number subtracted by itself is equal to zero, however infinity is not a real (rational) number. Making statements based on opinion; back them up with references or personal experience. I am going to prove what infinity divided by infinity … I.e., infinity divided by negative infinity is -1, not negative infinity. I am going to prove what infinity minus infinity really equals, and I think you will be surprised by the answer. Because "infinity" is not an actual number, just a concept, there is no number 1/infinity. If the area of a rectangular yard is 140 square feet and its length is 20 feet. Infinity divided by a positive finite number is infinity (I / +f = I); 6. Ron. also 1/x increases to a large value. How can I find the answer to this problem 1/3x2/4 x 3/5x...x 98/100= I need the formula please. 1 $\begingroup$ Can I apply L’Hopital’s rule to this: $$ \lim_{x\to0}\frac{f(x)}{g(x)} $$ when $ \lim_{x\to0}f(x) = \infty $ and $ \lim_{x\to0}g(x) = -\infty $. Actually the quotient infinity / (-infinity) is indeterminate and could be any value, including infinity. It only takes a minute to sign up. … Infinity divided by 2 is infinity. If you mean potential infinity, maybe you mean something like. L'Hopital aplies whenever $g(x) \to \pm \infty,$ no matter what $f$ is doing. Answer Save. The entry itself is rather useful. Or could be indeterminate. Therefore, infinity subtracted from infinity is undefined. It would seem so, if you mean by infinity "an arbitrarily large number". So infinity divided by inifinity or zero, infinity multiplied by infinity or zero, is all: undefined. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. In calculus, one considers limits; to say “X approaches infinity” means to consider what happens as X takes on ever larger finite values. L'hopital's rule will help you with dividing infinities. Infinity divided by a negative finite number is minus infinity (I / -f = -I); 7. MathJax reference. when x = or approaches 0. I am going to prove what infinity divided by infinity really equals, and … It is impossible for infinity subtracted from infinity to be equal to one and zero. http://en.wikipedia.org/wiki/Martin_Gardner. Shouldn't some stars behave as black holes? It doesn't matter whether it is positive or negative. Using this type of math, we can get infinity minus infinity to equal any real number. Actually the quotient infinity / (-infinity) is indeterminate and could be any value, including infinity. There are infinitely many real numbers, all of which are finite. What is the disadvantage of using impact sockets on a hand wrench? You probably know that 2*infinity = infinity. Tell me something I’ve always wondered, What is infinity divided by infinity?” I can only reply, “The words you just uttered do not make sense. If you mean actual infinities, such as the transfinite ordinal number w (omega), your equation still does not hold, for in the surreal numbers, w / (-w) = -1, not -w. Here you can apply L'Hospital's Rule. Actually, infinity is not a number, it is a limit, or rather, the lack of a limit. $ and $ Why is it that the congruence relations usually correspond to some type of subobject? At first, you may think that infinity divided by infinity equals one. For example, infinity divided by infinity is infinity, not one. Should recorded lectures be provided for students when teaching a math course online? indeterminate forms are: 0/0 and infinity / infinity only! Were any IBM mainframes ever run multiuser? After all, any number divided by itself is equal to one, however infinity is not a real or rational number. Construct a polyhedron from the coordinates of its vertices and calculate the area of each face. What does Infinity Minus Infinity Equal? Actually the quotient infinity / (-infinity) is indeterminate and could be any value, including infinity. We divide 12 by 3 to get 4; the number 3 can't divide anything; it isn't a sentient being, and neither can infinity. To think of it in terms of limits, we approximate infinity to be "a really large number" and negative infinity to be "a really small number". Does anyone know the answer to this one. Infinity is not a number, division is an undefined operation on infinity, if you define the number rules you get -1. Marvin Gardner has a great book, which a believe is called Aha! how much money would i have if I saved up 5,200 for 6 years? Yes, l’Hospital’s rule applies in this case. I.e., infinity divided by negative infinity is -1, not negative infinity. Or could be undefined. If you mean actual infinities, such as the transfinite ordinal number w (omega), your equation still does not hold, for in the surreal numbers, w / (-w) = -1, not -w. You can cancel the w's as if they were 2s or something. During this process you can keep your negative sign in the beginning of the expression whatever. I.e., since such a definition would be given for the sake of completeness and coherence with the fact "the limiting ratio is the ratio of the limits", your