Limits Strike

Calculus Level 3

$\large \lim_{x\to 0^+} x = 0 \qquad \qquad \lim_{x\to0^+} x^x = 1$

The two limits above are commonly used in calculus textbooks. However, the following limit isn't! What is the value of this limit?

$\large \lim_{x\to0^+} x^{x^x}$