Is 1 divided by zero is equal to infinity?

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is infinity. Similarly, expressions like 0/0 are undefined. Thus 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined.

Why something divided by zero is infinity?

Well, something divided by 0 is infinity is the only case when we use limit. Infinity is not a number, it’s the length of a number. As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet, so it’s undefined.

What is the solution of 1 divided by 0?

01 is undefined. Why some people say it’s true: Dividing by 0 is not allowed.

Does undefined mean infinity?

What is the difference between Infinity and Undefined? Undefined means, it is impossible to solve. Infinity means, it is without bound.

Is Infinity a number?

Infinity is not a number. Instead, it’s a kind of number. You need infinite numbers to talk about and compare amounts that are unending, but some unending amounts—some infinities—are literally bigger than others. When a number refers to how many things there are, it is called a ‘cardinal number’.

What is something divided by 0 equal to infinity?

Well, something divided by 0 is infinity is the only case when we use limit. Infinity is not a number, it’s the length of a number.

Why is the value of something divided by 0 undefined?

As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet, so it’s undefined.

What is infinity to the power of 1?

1 to the power anything is 1, and any number to the power infinity is infinity. But, infinity upon any number is infinity, and any number divided by zero is also infinity. Here, the rules don’t collide, so the answer is infinity.

Is the quotient 1 0 0 0 1 ​ undefined?

First, infinity is not a real number. The proof demonstrates that the quotient 1 0 \\frac10 0 1 ​ is undefined over the real numbers. It is true that, in some situations, the indeterminate form 1 0 \\frac10 0 1 ​ can be interpreted as ∞: \\infty: ∞: for instance, when taking limits of a quotient of functions.