Limit of a function
Limits at infinity for rational functions

There are three basic rules for evaluating limits at infinity for a rational function f (x) = p (x) q (x) {\displaystyle f(x)={\tfrac {p(x)}{q(x)}}} (where p and q are polynomials):

If the limit at infinity exists, it represents a horizontal asymptote at y = L. Polynomials do not have horizontal asymptotes; such asymptotes may however occur with rational functions.
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