The interval in which the function $$f(x) = x^x, x > 0$$, is strictly increasing is

A

$$\left(0, \frac{1}{e}\right]$$

B

$$(0, \infty)$$

C

$$\left[\frac{1}{e}, \infty\right)$$

D

$$\left[\frac{1}{e^2}, 1\right)$$