In one of my classes, the professor asked about what we think the largest function was. Many thought perhaps ${e^x}^{e^x}$, but I thought about $n!$
When I talk about a "largest function", I mean the function that increases the quickest.
The professor asked about a function larger than $n!$ to which I responded, $2n!$
Although snarky in nature, it is technically true.
So my question is this:
What is the "largest function" if we define "largest" as being "increases the quickest". A parent function is what we need, as it prevents someone like myself from putting a larger coefficient before the function.