JEE Main 20244 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002Let 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 toAOption A. 16\frac{1}{6}61BOption B. −16-\frac{1}{6}−61COption C. 23\frac{2}{3}32DOption D. −23-\frac{2}{3}−32CheckSkip · show solution
