Limits at infinity for rational functions Limit of a function

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horizontal asymptote y = 4


there 3 basic rules evaluating limits @ infinity rational function f(x) = p(x)/q(x): (where p , q polynomials):



if degree of p greater degree of q, limit positive or negative infinity depending on signs of leading coefficients;
if degree of p , q equal, limit leading coefficient of p divided leading coefficient of q;
if degree of p less degree of q, limit 0.

if limit @ infinity exists, represents horizontal asymptote @ y = l. polynomials not have horizontal asymptotes; such asymptotes may occur rational functions.







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