If and , evaluate…

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

Problem

\displaystyle\lim_{x\to 1} f(x)=4

and

\displaystyle\lim_{x\to 1} g(x)=-2

, evaluate

\displaystyle\lim_{x\to 1}\dfrac{2f(x)-g(x)}{f(x)g(x)}

. (a)

-\dfrac{3}{4}

(b)

-\dfrac{5}{4}

(c)

\dfrac{5}{4}

(d)

-\dfrac{5}{8}