Analise as afirmativas abaixo:

I- !$ \begin{matrix} lim \\ a \rightarrow 1\end{matrix} \left ( \dfrac{\sqrt{a}-1}{a-1} \right ) = \dfrac{1}{2} !$

II- !$ \begin{matrix} lim \\ a \rightarrow 0\end{matrix} (\sqrt[x]{\dfrac{k+x}{k-x}})= e^{\dfrac{2}{k}} !$

III- !$ \begin{matrix} lim \\ a \rightarrow \dfrac{\pi}{2}\end{matrix} \left ( \dfrac{tan 2x}{x-\dfrac{\pi}{2}} \right )= 1 !$

Assinale a alternativa correta: