Finding your own roots

Calculus Level 2

In South Korea, the numbers "2" and "ee" are pronounced the same, so it's impossible to pronounce these numbers distinctly: 22, 2e, e2, ee. 2^2,\ 2^e,\ e^2,\ e^e. It is obvious that the first number 222^2 is the smallest, while the last number eee^e is the largest. But, are they all arranged in ascending order?


Notation: e=10!+11!+12!+2.718 e = \frac1{0!} +\frac1{1!} + \frac1{2!} + \cdots \approx 2.718 .

×

Problem Loading...

Note Loading...

Set Loading...