Infinity divided by infinity is equal to

Ask a Question. What is infinity divided by infinity? Infinite is not a number u need proper numbers for division.

Using mathematical structures that go beyond the real numbers , it is possible to define numbers that have infinite magnitude yet can still be manipulated in ways much like ordinary arithmetic. Otherwise, the result is NaN. The challenges of providing a rigorous meaning of "division by infinity" are analogous to those of defining division by zero. As infinity is difficult to deal with for most calculators and computers many do not have a formal way of computing division by infinity. By typing in some number divided by a sufficiently large number the output will be 0. In some cases this fails as there is either an overflow error or if the numerator is also a sufficiently large number then the output may be 1 or a real number.

Infinity divided by infinity is equal to

Hello again, I just had one other question nagging question about infinity. I read this article on "Types of Infinity" on Paul Hawkins calculus website and he stated that one infinity cannot be divided by another or that the answer is inderterminate because fundamentally infinity comes in different sizes with respect to infinite sets and that this applies also to calculus. And so I was wondering if this is true is this why when you divide infinity by infinity in the extended real number system the answer is indeterminate since fundamentally one inifnity is larger than another like in infinite sets or is there another reason? Thanks sooo much for answering my question again! I greatly appreciate it! The reason that in the usual extension of the real numbers by "infinity" and "minus infinity" you cannot divide one infinite quantity by another has nothing to do with different sizes of infinity. Rather, it is the same as the reason why you cannot divide zero by zero. Division is meant to be an inverse to multiplication - that is, dividing 6 by 3 should be the same the same as answering the question "what do you multiply by 3 to get 6"? This is only meaningful if there is a unique correct answer! As multiplying any finite number by 0 gives 0, the question "what do you multiply by 0 to get 0?

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Infinity doesn't behave like an ordinary number, and shouldn't be considered as an ordinary number. Some infinities are bigger than other infinities, in fact one infinity can be infinitely larger than another infinity. The cardinal number of a set is how many elements it contains. See TJM i did see your post. It would be extremely rare for me to not see a post! Register Login Username. Guest Mar 4,

However, we can find a way to target this problem that is valid and acceptable. Read this complete guide to find out the solution to this problem. Henceforth, we will consider infinity not as a real number where usual mathematical operations can be normally performed. Thus, we interpret it as how a certain function will behave when the value of x approaches infinity or increases without bound. We will study some other operations or expressions that work around infinity.

Infinity divided by infinity is equal to

Most students have run across infinity at some point in time prior to a calculus class. However, when they have dealt with it, it was just a symbol used to represent a really, really large positive or really, really large negative number and that was the extent of it. Once they get into a calculus class students are asked to do some basic algebra with infinity and this is where they get into trouble.

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Olympian Received total of badges - KeigoHeardAnime. Guest Mar 4, How do divide whole numbers by fractions? Related questions. Download as PDF Printable version. Global Optimization using Interval Analysis 2nd ed. As infinity is difficult to deal with for most calculators and computers many do not have a formal way of computing division by infinity. Melody Mar 5, Use in technology [ edit ] This calculator does not have an infinity button. This would then allow the integral to be evaluated and then the limit would be taken.

In this article, we will discuss what is infinity, how to represent it, and what are its examples, types, and different properties of infinity.

Contents move to sidebar hide. In many cases evaluating this would result in a term being divided by infinity. What Is Hello again, I just had one other question nagging question about infinity. If a question is ticked that does not mean you cannot continue it. Infinite is not a number u need proper numbers for division. These are called Riemann sums. Categories All categories Other 9. The cardinal number of a set is how many elements it contains. S2CID Similarly, multiplying any positive number by infinity gives infinity. Infinity times infinity is simple kindergarten math. They are the same number, thus, it is 1.