Which of the following best describes the value of ?

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

Problem

Which of the following best describes the value of

\displaystyle \lim_{x\to\infty}\dfrac{5x^{3}-2x+1}{-4x^{3}+7x^{2}}

? (a)

\dfrac{5}{4}

(b)

0

(c)

-\dfrac{5}{4}

(d) The limit does not exist because the numerator and denominator have the same degree.