Quick Answer: What Is Infinity Divided By Zero?

Is 1 0 undefined or infinity?

First off, in the conventional system of real numbers, the expression 10 is considered as undefined, that is, it has no value.

“Infinity” does not exist in the real numbers.

0 is not in the domain of the function f(x)=1x..

Is infinity divided by infinity equal to 1?

Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined.

What is 1 divided negative infinity?

What is 1 minus infinity? The answer will be negative infinity. The answer will be negative infinity. This answer is easy to explain when viewed in a limit context.

What is the difference between 0 1 and 0?

[0,1] is the set of numbers between 0 and 1, including 0 and including 1. (It’s the set of numbers for which “0≤x≤1” is true.) [0,1) is the set of numbers between 0 and 1, including 0 but not including 1. (It’s the set of numbers for which “0≤x<1” is true.)

What is infinity divided 0?

Infinity is not a number, it is a mathematical concept. Similarly, division by zero is not a defined number, and so has no real meaning. The question you pose, therefore, has no answer. You can certainly create a mathematical system where ∞ / 0 = ∞.

Is dividing by zero infinity?

A number divided by zero is not infinity. Division by zero is undefined and meaningless.

Is 0 divided by 3 defined?

What is 3 divided by 0? Division by zero is undefined. Division is the inverse of multiplication; if A*B=C then C/B=A. … So, 3/0 (and any division of the form X/0) is undefined.

What is value of infinity?

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

Is 0 a real number?

The number 0 is both real and imaginary. ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.

What is the limit of 1 0?

13 Answers. The other comments are correct: 10 is undefined. Similarly, the limit of 1x as x approaches 0 is also undefined. However, if you take the limit of 1x as x approaches zero from the left or from the right, you get negative and positive infinity respectively.

Why any number divided by 0 is infinity?

Infinity is not a real number, and even if it were, it wouldn’t be the answer to dividing something by zero. There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.

What is 1 divided infinity?

1 divided by infinity: In this case, if we divide a small number with a large number, the result gets very close to zero. Therefore, we consider it as zero. The larger the denominator, the closer the quotient gets to 0. So, we consider the result as 0.

Who invented the 0?

MayansThe first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.

What is the meaning of 1 0?

1/0 is said to be undefined because division is defined in terms of multiplication. a/b = x is defined to mean that b*x = a. There is no x such that 0*x = 1, since 0*x = 0 for all x. Thus 1/0 does not exist, or is not defined, or is undefined.

What does Siri say when you ask her what is 0 divided by 0?

It’s commonly known that it’s impossible to divide any number by 0; the answer is undefined. But many agree Siri’s response to the question is startlingly insulting—and maybe a little bit funny. Her answer: “Imagine that you have 0 cookies and you split them evenly among 0 friends.