First, ∞ is not number. It’s symbol for infinity. For example in the natural numbers set N (the set of all positive integers), there are infinite number of numbers, but none of them is ∞.
But now to the example…
What is 1∞? Layman probably would say that that’s 1, but according to mathematicians 1∞ is not defined; we can’t say (at least by our understanding on infinity we have at the moment) what it is.
But what if we get ”close” to 1∞? Let’s examine following:
From arithmetic operations in infinity we remember, that
So what we have at the first limit sentence is ”1∞ ” and for
an exact value can in fact be determined! It’s the Napier’s number e, that’s an irrational number i.e. its decimal representation is infinite. It’s approximately 2.718281828459.
What I presented here, I came familiar with on my first university year.
