The Fourth Gate

You arrive at the fourth gate, feeling confident in your skills. $"$It is a good thing I had some practice before

landing on this planet", you think. You look carefully at the gate and find the following information, translated by

your computer:

Each of the limits below represent a piece of the passcode that you must enter to proceed. The parameters $a$

and $c$ represent positive real numbers and should be treated as such in your answer.

"Remember," says your computer, $"$to type "infinity" for $,"-$infinity" for $-,$ and $"$NA$"$ if the limit does not

exist."

$\underset{x-}{lim}\frac{a{x}^{95}-3x+71}{c{x}^{95}-71}=$

$\underset{x-}{lim}\frac{a{x}^{95}-3x+71}{c{x}^{92}-71}=$

$\underset{x-}{lim}\frac{a{x}^{92}-3x+71}{c{x}^{95}-71}=$

$$

Q