Evaluate ( _ x 1 1+3x -2 x^ 2 -1

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

Problem

Evaluate

\displaystyle \lim_{x\to 1} \frac{\sqrt{1+3x}-2}{x^{2}-1}.

(a)

\tfrac{1}{8}

(b)

\tfrac{3}{8}

(c)

\tfrac{3}{4}

(d)

\tfrac{1}{4}