AP

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

Problem

Evaluate

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

. (a)

\dfrac{1}{\sqrt{3}}

(b)

\dfrac{\sqrt{3}}{6}

(c)

\dfrac{1}{4\sqrt{3}}

(d)

-\dfrac{\sqrt{3}}{6}