Limit of integral with exponential denominator

2175ExpertCalculus

Olimpiada Republicană la Matematică

Let $I_{n}=n \int_{0}^{1} \frac{\cos x}{1+e^{n x}} d x$, where $n \in \mathbb{N}^{*}$. Compute $\lim _{n \rightarrow \infty} I_{n}$.

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2175ExpertCalculus

Olimpiada Republicană la Matematică

Let $I_{n}=n \int_{0}^{1} \frac{\cos x}{1+e^{n x}} d x$, where $n \in \mathbb{N}^{*}$. Compute $\lim _{n \rightarrow \infty} I_{n}$.

0 students attempted0% solvedRating 2175