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 oo, "-infinity" for -xx, and "NA" if the limit does not exist." lim X--X ax65-11x+53 cx65-53 lim XX ax 65-11x+53 cx62-53 lim x x ax 62-11x+53 CX 65-53 Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team.