## Is busy beaver the fastest growing function known to man?

I just had this interesting question. What is the fastest growing function known to man? Is it busy beaver? We know functions such as $x^2$, but this function grows slower than $2^x$, which in turn grows slower than $x!$, which in turn grows slower than $x^x$. We can then combine functions, to have $(x^x)!$ that … Read more