Find the limit of the function $\lim_{ x\to 0^+}\arctan(x^{x^a})$ $$\lim_{ x\to 0^+}\arctan(x^{x^a})$$ where $a$ is real number.
I have a problem because i don't know if i can get inside arctg with limit. So either this would help me or an explicit solution if possible.
New on this, sorry if I haven't written this correctly

Hint: Are you already familiar with the fact that $\lim\limits_{x\to0^+}x^x=1$ ? If so, then rise $x^{x^a}$ to the power a, and let $x^a=t$, then extract the a-th root of the result.
