Evaluate for .

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

Problem

Evaluate

\displaystyle\lim_{x\to\infty}\frac{(x-2)(4x^{2}+1)}{(x-2)(-6x^{2}+7x)}

for

x\neq2

. (a)

-\dfrac{17}{10}

(b)

\dfrac{2}{3}

(c)

-\dfrac{2}{3}

(d)

-\dfrac{3}{2}