Let and . Determine…

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

Problem

Let

f(x)=3x^{5}+2x^{2}

and

g(x)=7x^{5}-4

. Determine

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

. (a)

1

(b)

0

(c)

\dfrac{3}{7}

(d)

\dfrac{7}{3}