(Section 2.3: Limits and Infinity I) 2.3.23In summary: “Super Short Cuts” for Evaluating “Long-Run” Limits for Rational Functions, and for Finding HAs for their GraphsAssume fx()=NxDxon its implied domain, where and are polynomials, and is not the zero polynomial. Let degNand degDbe their respective degrees. Case 1If degN<degD, thenfis a proper rational function, and the x-axis y=0is the only HA of its graph. limx±²=0, and limx±²³=0. See Example 14, where =x2±
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