Question

\[\lim _{ a\rightarrow 0^+ }{ \frac{1}{a^a} } \]

I know the answer is 1, but how do you approach this question?

Perhaps rewriting it as \[\lim _{ a\rightarrow 0^+ }{ { \left( \frac{1}{a} \right) }^{ a } }\]Is it valid to say that for any x \[\lim _{ a\rightarrow 0^+ }{ { x }^{ a } }=1\]and therefore ignoring the \(\frac{1}{a}\)?