Answer
$\infty$
Work Step by Step
Given $$\lim _{x\to \infty }\sqrt{x}$$
Then
\begin{align*}
\lim _{x\to \infty }\sqrt{x}&=\sqrt{\lim _{x\to \infty }x}\\
&=\sqrt{\infty \:}\\
&=\infty
\end{align*}
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