Answer
$$0$$
Work Step by Step
Given $$
\lim _{x \rightarrow 0^{+}} \sqrt{x} \sec x
$$
Then
\begin{align*}
\lim _{x \rightarrow 0^{+}} \sqrt{x} \sec x&=\lim _{x \rightarrow 0^{+}} \frac{\sqrt{x}}{\cos x}\\
&=0
\end{align*}
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