Why is 0 * infinity undefined?

In summary, the expression ∞×0 using multiplication defined for the natural numbers does not have any meaning, so it cannot be said to be equal to 0. It does equal zero, in any mathematical context.

Is zero by infinity undefined?

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.

Is undefined the same as infinity?

First of all, infinity is not a real number so actually dividing something by zero is undefined. In calculus ∞ is an informal notion of something “larger than any finite number”, but it’s not a well-defined number.

What is the difference between zero and infinity?

0 means “nothing” and is in the middle of the number line. Infinity is at the extreme ends of the number line and it can either be positive or negative. People mostly associate Infinity with positive infinity and is taken to mean an extremely large number, quantity or time which cannot be measured by any means.

Does infinity equal zero?

Zero is not equal to infinity. Zero is a number but not infinity. 0 is both a number and the numerical digit used to represent that number.

Is zero an infinite number?

The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0. Hence we readily say that N / 0 is infinite.

Is zero times infinity an undefined real number?

In actuality, when any number (including zero) is multiplied with infinity, then the results are always undefined. Therefore, zero times infinity is undefined. So, zero times infinity is an undefined real number. This is the definition of undefined.

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 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.

What is the product of zero and infinite?

That means, which shows that zero multiplied by infinity is any real number. Therefore, the product of zero and infinity is undefined. Originally Answered: What will be the answer of the product of zero and infinite?