AP

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Evaluate

\displaystyle \lim_{x\to 0}\left(\frac{\sin x}{x}\right)^{\tfrac{1}{x^{2}}}

. (a)

e^{-\tfrac13}

(b)

e^{\tfrac16}

(c)

e^{-\tfrac16}

(d)

1