For a rational function with and

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

For a rational function

f(x)=\dfrac{p(x)}{q(x)}

with

\deg p=2

and

\deg q=5

, the value of

\displaystyle \lim_{x\to\infty} f(x)

is (a)

+\infty

(b) 0 (c) \dfrac{2}{5} (d) \dfrac{\text{leading coefficient of }p}{\text{leading coefficient of }q}