I read on Wikipedia that growth rate of a function can sometimes be greater than exponential. Can you give me some examples of such functions (preferably continuous ones)?
Obviously $x^x$ grows faster than normal exponential, and $x^{x^x}$ even more so - does this concept have a name, and can an arbitrary/infinite amount of such "exponentiality" be expressed with a mathematical expression?
Any other interesting functions to be aware of?