Question: Is Infinity Minus 1 Still Infinity?

How much is infinity minus 1?

If you define infinity as the limit of as , where is any positive number, then infinity plus any positive or negative finite number is infinity.

As goes to zero, goes to zero, so the limit is the same as the limit of , which is infinity.

If in particular , then infinity minus 1 equals infinity..

Is Omega bigger than infinity?

ABSOLUTE INFINITY !!! This is the smallest ordinal number after “omega”. Informally we can think of this as infinity plus one. … In order to say omega and one is “larger” than “omega” we define largeness to mean that one ordinal is larger than another if the smaller ordinal is included in the set of the larger.

Is negative infinity a real number?

Infinity is a “real” and useful concept. However, infinity is not a member of the mathematically defined set of “real numbers” and, therefore, it is not a number on the real number line.

Can you do infinity minus infinity?

It is impossible for infinity subtracted from infinity to be equal to one and zero. Using this type of math, we can get infinity minus infinity to equal any real number. Therefore, infinity subtracted from infinity is undefined.

Is Infinity equal to?

Infinity is not equal to infinity. … Infinity is a concept. There are two types of infinity – one is called countably infinite and another is called uncountably infinite. If the terms of a set are in one-one and onto correspondence with the set of natural numbers, then the set is called countable set or denumerable set.

What is the value of infinity minus zero?

No. Infinity is an undefined term so subtracting something from , adding something to , multiplying anything or dividing anything by infinity in also UNDEFINED. Zero is a value . All numbers have values.

What is the number before infinity?

There isn’t a number before infinity because there isn’t a number called infinity. If there were, then there would also be a number called infinity+1. Any time I see something like infinity+x or infinity-x, the answer to that is still infinity.

What is 5 divided infinity?

Hence, when we divide a number by infinite the answer will be zero. Originally Answered: Why does a number divided by infinity undefined instead of zero? Infinity is undefined. If you divide a number by an undefined value, there is no way to find the result since you divide by an undefined value.

What is minus infinity?

the symbol for Indeterminate. Mathematically in the context of the real numbers, -oo (minus infinity) is an unbounded number that is less than every real number.

What is negative infinity divided by negative infinity?

Negative infinity divided by negative infinity is one. Negative infinity divided by positive infinity is -1. Negative infinity divided by zero is undefined, but you can define it as negative infinity if you are very very very careful in ensuring consistency in fixing up your definition of division.

Can you add 1 to infinity?

. If you add one to infinity, you still have infinity; you don’t have a bigger number. If you believe that, then infinity is not a number.

What is 1 divided negative infinity?

As it means all negative numbers, it is not considered a set constant number such as 7, -2, etc., but instead it is not marked as a number at all. Minus infinity just means all negative numbers, not a number itself. So, the answer to 1 divided by minus (negative) infinity is undefined or nonexistent.

Why is infinity not 1 infinity?

But you divide numbers by numbers, and infinity isn’t a number. Well ofcourse “Infinity” itself means “Not finite” or “Undefined” in itself. So what is undefined in itself cannot be Divided, Multiplied, subtracted or Added with itself or any other number. … Infinity divided by infinity is not defined.

Is negative infinity the same as infinity?

No. In number sets in which positive and negative infinity are both defined, they are not equal. There are sets, such as the extended complex numbers, in which there is only one kind of infinity, but they attach no meaning to infinity being positive or negative.

Is Infinity equal to 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 infinity divided by infinity equal to 1?

Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined.

What is 1 divided infinity?

Solving 1 divided by infinity is an excellent example of a problem that doesn’t have an outright answer. However, we can use math and observe how the expression behaves to get as close to a solution as possible. Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.

What is zero divided infinity?

Zero divided by infinity is zero, not infinity. Any division problem with zero in the numerator is always equal to zero because even if you were to put zero into the numerator an infinite amount of times, you’d never actually reach the numerator. ∞ * 0 = 0. Therefore, 0/∞ = 0.