MathematicsMedium210×since 2002Q3323Let f(x)=∫0x(t+sin(1−et))dt,x∈Rf(x)=\int_0^x\left(t+\sin \left(1-e^t\right)\right) d t, x \in \mathbb{R}f(x)=∫0x(t+sin(1−et))dt,x∈R. Then, \lim _\limits{x \rightarrow 0} \frac{f(x)}{x^3} is equal toA16\frac{1}{6}61B−16-\frac{1}{6}−61C23\frac{2}{3}32D−23-\frac{2}{3}−32Check answerSkip