The value of is:

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

Problem

The value of

\lim_{x\to0}\frac{1}{x^3}\int_0^x\frac{t\ln(1+t)}{t^4+4}\,dt

is: (1) 0 (2)

\frac{1}{12}

(3)

\frac{1}{24}

(4)

\frac{1}{64}