What number divided by itself is infinity?

Answer 1

By definition, zero

Answer 2

Any number divided by 0 IS NOT INFINITY!!!!!!!!!

It is "indeterminant." No number divided by itself is infinity, per se, although in calculus weird things can happen that will make things equal infinity.

Puggy is correct. My teacher always told us "infinity is a concept not a number."
Therefore infinity^0 is not one, and 1^infinity is not the same as one either. Both are once again indeterminant.

Infinity is a concept that require Calculus to adequately deal with.

Answer 3

0 0

Answer 4

Any number divided by zero can be considered to be infinity. If you take some number (n) and graph its value when divided by another number (x), you will see it rise quickly as the number gets smaller, approaching infinity.

The exception to this rule is zero. Dividing zero by itself does not necessarily equal infinity. It really has no value that you can determine. This is because dividing zero by any number equals zero. So which is it, zero or infinity?

I guess one has to conclude that there is no answer to your question.

Answer 5

For all numbers except zero the answer will be one.

In the case of 0/0 it will depend on where the numbers came from and then you have to talk about limits. For example sinx divided by x tends to 1 as x tends to zero so sin0 divided by 0 is 1 and since sin0 is equal to 0 in this case 0/0 = 1

Answer 6

No number divided by itself is infinity. However, note that there is an infinite hierarchy of infinities, each infinitely greater than the previous one...for more info, see transfinite arithmetic.

Answer 7

You can't really talk about infinity like it is a number, because it's not. Infinity has to be talked about in terms of limits.

If talked about within the context of limits, not even 0/0 is guaranteed to be infinity.

lim x/(x^2) = infinity, but
x -> 0+

lim (x^2)/x = 0
x -> 0+

Answer 8

1/infinity = 0 (Zero) therefore, infinity x 0 = 1 and 1/0 = infinity

Answer 9

Infinity? Zero? Wow what a mind bender

Answer 10

zero is not necessarily the answer to this question.
When you speak of zero divided by zero, the order of the zero in the numerator and denominator becomes important.

eg. sinx / x goes to 1 as x goes to zero because both numerator and denominator have the same order of zero.

sin^2 x / x goes to zero

sinx / x^2 goes to infinity

Answer 11

NOTHING. INFINITY IS SORTA AN IDEA. FOR EXAMPLE WHEN FINDING THE PROBABILITY IF AN ELECTRON EXISTS YOU INTEGRATE USING INFINITY. IF THE ANSWER TO THE INTEGRATION IS 1 THAN THE ELECTRON EXISTS. SO INFINITY IS AN IDEA NOT A NUMBER