Quick Answer: What Is The Value Of 0 Multiplied By Infinity?

Can you multiply infinity by 0?

Zero times infinity equals zero.

There is no indeterminacy.

[In the integers.

In the real numbers zero times infinity is indeterminate..

What is anything multiplied by infinity?

Infinity can be any number, it can be the larger number than the largest number you can think of. Infinity is also applicable to negative integers. Thus, any number multiplied by infinity will give you infinity.

Is 0 a real number?

Answer and Explanation: Yes, 0 is a real number in math. By definition, the real numbers consist of all of the numbers that make up the real number line. The number 0 is…

Why is 0 to the 0 power undefined?

The problem is similar to that with division by zero. No value can be assigned to 0 to the power 0 without running into contradictions. Thus 0 to the power 0 is undefined!

What is infinity to the 0 power?

Depends on how do you define the infinity. If you extend the Real numbers set, you may say that infinity is defined as the NUMBER, which is bigger than any of the numbers in the non-extended Real numbers set. In that case infinity to the power of zero is 1 because any Real NUMBER to the power zero is 1.

Who invented 0?

Brahmagupta”Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628,” said Gobets. He developed a symbol for zero: a dot underneath numbers.

Is infinity minus 1 still infinity?

Infinity is uncountable. It is not defined. When there is no particular numerical value for infinity, this operation of infinity minus one can’t really be performed as it is illogical. So the answer still remains infinity.

What is the value of 1 to the power infinity?

1 raised to power infinity is always 1. If one considers LHL, x will tend to 1 (from left side of 1 on the number line) but will always be less than 1, and raising infinity on something which is less than one will approach to ZERO.

What is infinity divided 0?

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 2 divided by infinity?

No, 2 divided by infinity is indeterminate. This is mostly because a real number 2 cannot be divided by a non-number such as infinity. Inversely, infinity times a real number quotient cannot equal a real number such as 2.

Is 1 to the infinity indeterminate?

While at first this problem may not look like a 1 to infinity problem, it actually is because when you try to take a limit, you get 1 to infinity. Because you’re dealing with limits, this 1 to infinity is an indeterminate form, as we discussed a moment ago, meaning it’s an answer that you can’t use.

Is 0 the number of infinity?

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 a zillion a real number?

A zillion is a huge but nonspecific number. Zillion sounds like an actual number because of its similarity to billion, million, and trillion, and it is modeled on these real numerical values. … However, like its cousin jillion, zillion is an informal way to talk about a number that’s enormous but indefinite.

Is 1 0 undefined or 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. But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate.