Like someone else noted, limit is axb as a approaches infinity and b approaches negative infinity is negative infinity. What does Infinity Minus Infinity Equal? In the ordinary calculus, there are no infinitesimals.. Abraham Robinson and others, from the $1950$'s on, developed non-standard analysis, which does have infinitesimals, and also "infinite" number-like objects, that one can work with in ways that are closely analogous to the way we deal with ordinary real numbers.. We also have the case of a fraction in which the numerator and denominator are the same (ignoring the minus sign) and so we might get -1. After all, any number subtracted by itself is equal to zero, however infinity is not a real (rational) number. Math and Arithmetic Numbers Infiniti Statistics Calculus Brain Teasers and Logic Puzzles. I am going to prove what infinity minus infinity really equals, and I think you will be surprised by the answer. Answers to questions involving infinity are curious. You can really only talk about infinity as a limit of real numbers, because that's all is. What you are really saying, what is the limit of axb (a times b) as both a and b approach infinity, which is infinity. The meaning of infinity.The definition of 'becomes infinite' Let us see what happens to the values of y as x approaches 0 from the right:. But be careful, a function like "−x" will approach "−infinity", so … Also, if the denominator is going to infinity, in the limit, we tend to think of the fraction as going to zero. As the sequence of values of x become very small numbers, then the sequence of values of y, the reciprocals, become very large numbers.The values of y will become and remain greater, for example, than 10 100000000. y becomes infinite. This is also true for 1/x 2 etc : A function such as x will approach infinity, as well as 2x, or x/9 and so on. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Functions like 1/x approach 0 as x approaches infinity. Trending Questions. So, the answer to the question is that infinity times infinity is infinity. Concepts are like the air we breathe for freshness and life. Infinity cannot be treated operationally in any conventional manner. Likewise functions with x 2 or x 3 etc will also approach infinity. It is a concept (and only a concept). At first, you may think that infinity subtracted from infinity is equal to zero. The most common example of an indeterminate form occurs when determining the limit of the ratio of two functions, in which both of these functions tend to zero in the limit, and is referred to as "the indeterminate form /".For example, as approaches , the ratios /, /, and / go to ∞, , and respectively. To prove what infinity minus infinity really equals, and i think you will surprised. 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