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." 67-7x+61 ax lim x →∞ cx67-61 x67-7x+61 x →∞ cx62-61 lim ax ax62-7x+61 lim x →∞ cx67-61 = = = Po AT AL

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