AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

\displaystyle\lim_{n\to\infty}\left[\frac{(n+1)(n+2)\dotsm(3n)}{n^{2n}}\right]^{1/n}

is equal to (1)

\dfrac{18}{e^4}

(2)

\dfrac{27}{e^2}

(3)

\dfrac{9}{e^2}

(4)

3\log3-2