Question 1082291
You will find asymptote for x=5, and you will find that sign of entire expression changes at x at 5; going unbound negatively from the left and unbound to the positive from the right.   The expression as x approaches 5, HAS NO LIMIT.


{{{graph(400,400,-2,8,-2,8,(sqrt(x)-2)/(x-5))}}}
(not all of the graph here is displaying properly.  )