Use algebra and the properties of limits as needed to find the given limit. If the limit does not exist, say so. \( \lim _{x \rightarrow 5} \sqrt{9 x-4} \)

To find the limit \( \lim _{x \rightarrow 5} \sqrt{9 x-4} \), we can directly substitute \( x = 5 \) into the expression. Calculating it, we have: \[ \sqrt{9(5)-4} = \sqrt{45-4} = \sqrt{41} \] Since there are no complications such as division by zero or oscillation near the limit point, the limit exists. Thus, \[ \lim _{x \rightarrow 5} \sqrt{9 x-4} = \sqrt{41} \]