AP

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

Problem

Determine

\displaystyle \lim_{x\to 0}\frac{\sqrt{1+\sqrt{1+x}}-\sqrt{2}}{x}

. (a)

\dfrac{1}{2\sqrt{2}}

(b)

\dfrac{1}{4\sqrt{2}}

(c)

\dfrac{1}{8\sqrt{2}}

(d)

\dfrac14