The Second Gate

As you move through the first gate, you can see another gate not far in front of you. You approach the second

gate and your computer reads: "There are $2$ values for which the below function does not exist. The passcode

is the limit of g$($x$)$ as x approaches the smaller of these two values."

g$($x$)=($x$+5)/($x$^(2)-25)$

Your computer also reminds you to type "infinity" for $\backslash$infty $,"-$infinity" for $-\backslash$infty $,$ and $"$NA$"$ if the limit does not exist.

What do you enter for your computer to translate?