Question: Why is 0^0 indeterminate?

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.

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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.

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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.

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