What Is Equal to Infinity?

In mathematics, anything divided by zero is not defined (and not infinity). … But ‘limit’ (1/x); x->0 is well defined and is equal to infinity (it is the basic concept of limits).

Is 0 and infinity same?

In terms of logarithms, the original value 0 corresponds to −∞, while the original infinite value corresponds to +∞. When we treat both possible values −∞ and +∞ as a single infinity, we thus treat the original values 0 and infinity as similar.

Is r the same as infinity?

There is no difference: R=]−∞,+∞[. Writing it like this serves to get you used with the symbol ∞, I guess (mostly psychological reasons?). Also, there will be a time when you’ll need to use concepts dealing with the extended real line, so it will be natural to talk about: ]−∞,+∞],[−∞,+∞[, and [−∞,+∞].

the Russian mathematician Ludwig Phillip Cantor demonstrated that there are an infinite number of numbers just between 0 and 1 and more than one kind of infinity – the countable and the uncountable: infinity equals infinity equals infinity and independent of dimension, as the mind-defying proposition goes.