Which one of the following rational functions approaches a finite non-zero value as ?

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

Problem

Which one of the following rational functions approaches a finite non-zero value as

x\to\infty

? (a)

\dfrac{5x^{2}-4}{3x^{4}+2}

(b)

\dfrac{2x^{3}-1}{5x^{4}+7}

(c)

\dfrac{4x^{2}+3}{x^{2}-6}

(d)

\dfrac{6-x}{x^{3}+4}