Infinity is a number that never ends, so subtracting it by one or any integral would still leave you with infinity.
The symbol “∞”, (called the lemniscate), is used to denote infinity. It looks like a sideways 8. Similarly, there is a concept called negative infinity, which is less than any real number. The symbol “-∞” is used to denote negative infinity.
Dividing 1/infinity does not exist because infinity is not a real number.
If you subtract 1 from infinity, answer will be infinity because infinity is very large number and subtracting 1 won't affect the value much.
However, infinity is not a number, so we cannot simply subtract two infinities to get a number. Instead, infinity minus infinity is undefined. This means that there is no answer to the question of what infinity minus infinity is.
As no number is imagined beyond it(no real number is larger than infinity). The symbol (∞) sets the limit or unboundedness in calculus.
Addition Property. If any number is added to infinity, the sum is also equal to infinity. ∞ + ∞ = ∞
If a number is added to or subtracted from infinity, the result is infinity.
In arithmetic, 1 plus infinity is undefined and cannot be given a numerical value. Similarly, 1 minus infinity is undefined.
A Googolplexian is a number with 10100 zeroes. Whilst larger numbers can be imagined, the Googolplexian is the largest number that could be found in the dictionary. The search engine Google adopted the term googol (with a few creative changes) for its name to represent the vast amount of information it has available.
Answer and Explanation:
Any number divided by infinity is equal to 0. To explain why this is the case, we will make use of limits. Infinity is a concept, not an actual number, so we can't just divide a number by infinity.
Yet even this relatively modest version of infinity has many bizarre properties, including being so vast that it remains the same, no matter how big a number is added to it (including another infinity). So infinity plus one is still infinity.
Infinity is a mathematical concept originating from Zeno of Elia (~450 BC) who tried to show its “physical” impossibility. This resulted in the “arrow paradox”, but which was solved later on. Many mathematicians and physicists went on to try understanding infinity and to explain it by various theories and experiments.
Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical.
Infinity has no end
Infinity is the idea of something that has no end.
Infinity is not a number, it's more of a concept, and therefore could not have an inverse.
Visualized this way, you'll see it's possible to keep up this one-to-one correspondence between our sets forever, which means infinity and infinity plus one are actually equal.
Now this statement is most commonly (though not correctly) referred to as 1/0 = infinity and is so common in mathematics and physics that people working/studying in this field take limits to be obvious.
Mathematically, division by zero is undefined, although it can be loosely be regarded as being infinity. (With a little more rigour, it's a number that is greater than x for any value of x.) An IEEE754 floating point double (used by Java) has a representation of infinity. That is the result of 1.0 / 0.0.
Infinity is bigger than any number. But saying just how much bigger is not so simple. In fact, infinity comes in infinitely many different sizes—a fact discovered by Georg Cantor in the late 1800s.
If you're wondering what is zero in math, you might also be wondering, is zero a real number in math? Yes! Zero is a real number because it is an integer. Integers include all negative numbers, positive numbers, and zero.
If you add one to infinity, you still have infinity; you don't have a bigger number.
The thing is, infinity is not a number, but a concept or idea. A "googol" is the number 1 followed by 100 zeroes. The biggest number with a name is a "googolplex," which is the number 1 followed by a googol zeroes.
Google is the word that is more common to us now, and so it is sometimes mistakenly used as a noun to refer to the number 10100. That number is a googol, so named by Milton Sirotta, the nephew of the American mathematician Edward Kasner, who was working with large numbers like 10100.
What's bigger than a googolplex? Even though a googolplex is immense, Graham's number and Skewes' number are much larger. Named after mathematicians Ronald Graham and Stanley Skewes, both numbers are so large that they can't be represented in the observable universe.