Limit of an Integral!
Calculus
Level
4
\[\large{ \lim_{n \to \infty} n \int_1^e x^2 (\ln(x))^n \, dx}\]
For integer \(n\), let \(L \) denote the value of the limit above. Find the value of \(\ln(L ) \).
by
Satyajit Mohanty