## Why is 0 * infinity indeterminate?

Zero is so small that it makes everyone vanish, but **infinite** is so huge that it makes everyone **infinite** after multiplication. In particular, **infinity** is the same thing as “1 over “, so “zero times **infinity**” is the same thing as “zero over zero”, which is an **indeterminate** form.

## Is a number over 0 indeterminate?

We say that 1/ is undefined because there is no **number** c that satisfies 0c = 1. On the other hand, any **number** c satisfies 0c = and there’s no reason to choose one **over** any of the others, so we say that / is **indeterminate**.

## What does a limit of 0 0 mean?

Typically, zero in the denominator means it’s undefined. When simply evaluating an equation **0/0** is undefined. However, in take the **limit**, if we get **0/0** we can get a variety of answers and the only way to know which on is correct is to actually compute the **limit**.

## Is 0 0 undefined or 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. Thus 1/0 is not **infinity** and **0/0** is not indeterminate, since division by zero is not defined.

## Is 1 to the infinity indeterminate?

Forms that are not **Indeterminate**

Quotient: The fractions 0 ∞ frac0{infty} ∞0 and **1** ∞ frac1{infty} ∞**1** are not **indeterminate**; the limit is 0 0 0.

## Is 0 divided by infinity indeterminate?

< ^{f}^{(}^{x}^{)}/_{g}_{(}_{x}_{)} < f(x). Hence ^{f}^{(}^{x}^{)}/_{g}_{(}_{x}_{)} gets squeezed between and f(x), and f(x) is approaching zero. Thus ^{f}^{(}^{x}^{)}/_{g}_{(}_{x}_{)} must also approach zero as x approaches a. If this is what you mean by “**dividing** zero by **infinity**” then it is not **indeterminate**, it is 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 to get a non-zero number. There is NO solution, so any non-zero number **divided by 0** is undefined.

## Is negative infinity zero?

r/badmathematics: **Infinity** is everything, so **negative infinity** is not everything, i.e., nothing. Therefore, **negative infinity** equals **zero**.

## Is 0 an even number?

So what is it – odd, **even** or neither? For mathematicians the answer is easy: **zero** is an **even number**. Because any **number** that can be divided by two to create another whole **number** is **even**.

## 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.

## Does a limit exist at a hole?

If there is a **hole** in the graph at the value that x is approaching, with no other point for a different value of the function, then the **limit does** still **exist**.

## Can zero be divided by zero?

They say **zero divided** by anything is **zero**. However, some say anything **divided by zero** is undefined, since 4/0 and 5/0 are and so on. If 0/0 is 1, then 1 times 0 is, so it is correct. If 0/0 is 0, then 0 times 0 is 0, so it is also correct.

## Can zero be divided by 1?

Answer: **Zero divided by 1** is 0.

Let’s **divide zero** by **1**.

## Is 0 divided by 5 defined?

There will be objects with each friend since there are no objects to **divide** equally among **5** friends. That is, Hence, is **defined**.

## Who invented 0?

The 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.