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 gateand 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 parametersaandcrepresent 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."

limx ax^7711x+43c / cx^7743 =

limx ax^7711x+43 / cx^7443 =

limx ax^7411x+43 / cx^7743 =