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

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

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

x\to\infty

? (a)

\dfrac{6x^{3}-2}{x^{3}+5}

(b)

\dfrac{4x+1}{x^{2}+3}

(c)

\dfrac{2-5x^{2}}{7-x}

(d)

\dfrac{9+x^{4}}{x^{2}-3}