### Big, Bigger, Biggest

Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?

### Infinite Continued Fractions

In this article we are going to look at infinite continued fractions - continued fractions that do not terminate.

### Gosh Cosh

Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.

# Equation Attack

##### Age 16 to 18 Challenge Level:
Let $f(x) = a^x + b^x - 1$, find $f(0)$ and $f(1)$ and consider the graph of $f(x)$.