26th November 2019

17

# What is the difference between infinite and infinity?

Infinite technically is an adjective. Like this page is white, similarly this series is infinite, but infinity is a noun. It means a certain quantity which is not a fixed number but bigger than any given number. Infinity ∞ is not a number, but an idea that describes something growing without bound.

Consequently, what is infinity divided by infinity?

However, 1 divided by ∞ does equal a limit approaching 0. In other words, 1 divided by ∞ does not equal a number or is undefined. As a result, we reached a dead end. Therefore, infinity divided by infinity is still undefined.

What happens when you divide a number by infinity?

On the same lines, if you are observing the division of a number by infinity, you are actually observing the behaviour of the resultant value produced when that number is divided by a larger and larger number. Thus the division by infinity is defined as zero.

What is an infinite number?

Infinity (symbol: ∞) is a concept describing something without any bound or larger than any natural number. In the theory he developed, there are infinite sets of different sizes (called cardinalities). For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable.