The longest imaginable
Calculus
Level
4
Evaluate \[ \lim_{n \to \infty} \displaystyle \int_0^1 \int_0^1 \ldots \int_0^1 \dfrac{n}{x_1+x_2+\dots+x_n}\, dx_1 dx_2 \ldots dx_n. \]
Clarification: In the answer options, \(e \, (\approx 2.71828)\) is the Euler's number.
Note: This problem is a generalization of my previous problem.
by
Efren Medallo