What are facts about infinity?

Infinity is the worlds strangest number as it is not - in many respects - a number at all. It is a concept that cannot exist, as far as we know.

Presuming you are using limits, the exponentiation of two limits which diverge to infinity, also diverge to infinity. Or, using shorthand notation: ∞∞= ∞

First off, infinity is not a number in conventional mathematics. In Calculus, you can work with infinity through the language of limits. It is important to note that when we use the shorthand:...

infinity.

It depends. The determining factor is whether the numerator goes to infinity faster or slower than the denominator. If the numerator goes faster, then the answer is infinity. For example, as x goes...