Evaluate ( _ x 4 x -2 x^ 2 -16

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

Problem

Evaluate

\displaystyle \lim_{x\to 4} \frac{\sqrt{x}-2}{x^{2}-16}.

(a)

\tfrac{1}{8}

(b)

\tfrac{1}{32}

(c)

\tfrac{1}{16}

(d)

\tfrac{1}{4}