Jee Main
Definite Integration
JEE Main 2024 (Online) 4th April Evening Shift
MCQ+4 / -12024
Let \(f(x)=\int_0^x\left(t+\sin \left(1-e^t\right)\right) d t, x \in \mathbb{R}\). Then, \(\lim _\limits{x \rightarrow 0} \frac{f(x)}{x^3}\) is equal to
Jee Main
JEE Main 2024 (Online) 4th April Evening Shift
Let \(f(x)=\int_0^x\left(t+\sin \left(1-e^t\right)\right) d t, x \in \mathbb{R}\). Then, \(\lim _\limits{x \rightarrow 0} \frac{f(x)}{x^3}\) is equal to